Quiz worksheet on calculating volume and surface area of cubes and cuboids with multiple-choice questions.

Let’s solve each problem step by step.

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Problem 1:

We are given a cuboid with dimensions:
- Length = 6 cm
- Width = 4 cm
- Height = 14 cm

Volume of a cuboid = length × width × height
→ Volume = 6 × 4 × 14

First, 6 × 4 = 24
Then, 24 × 14:

Break it down:
24 × 10 = 240
24 × 4 = 96
240 + 96 = 336

So, volume = 336 cm³

✔ Correct answer: C

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Problem 2:

Dimensions:
- Length = 15 in
- Width = 10 in
- Height = 10 in

Volume = 15 × 10 × 10
= 15 × 100 = 1500 in³

✔ Correct answer: A

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Problem 3:

Dimensions:
- Length = 6 feet
- Width = 3 feet
- Height = 2 feet

Volume = 6 × 3 × 2
= 18 × 2 = 36 ft³

✔ Correct answer: D

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Problem 4:

Wait — the image cuts off here. We can see part of a cuboid with two sides labeled: 5 cm and 4 cm. But we’re missing the third dimension (length or depth) to calculate surface area.

Surface area of a cuboid = 2(lw + lh + wh)

But without all three dimensions, we cannot compute it.

However, looking at the pattern from previous problems, and since this is question #4 on a quiz that likely has complete figures, perhaps the figure was meant to show all three dimensions? In many such quizzes, if only two are shown, sometimes it's implied to be a cube — but 5 cm and 4 cm are different, so not a cube.

Alternatively, maybe the third dimension is also 4 cm or 5 cm? Or perhaps it’s cut off in the image upload.

But wait — let me re-examine the user’s uploaded image description. The last visible part says:

> 4. [figure] Find the surface area of this figure.
> Labels: 5cm and 4cm — possibly height and width, but no length?

Actually, in standard textbook diagrams for cuboids, if only two dimensions are labeled on adjacent faces, sometimes the third is assumed to be the same as one of them — but that’s risky.

Alternatively, perhaps the figure is drawn with 3D perspective and the third dimension is implied? For example, if it’s a rectangular prism with front face 5cm high and 4cm wide, and depth also 4cm? That would make sense.

Let’s assume the third dimension (depth) is 4 cm, since 4 cm appears twice in labeling (maybe width and depth), and height is 5 cm.

So dimensions: l = 4 cm, w = 4 cm, h = 5 cm

Surface Area = 2(lw + lh + wh)
= 2(4×4 + 4×5 + 4×5)
= 2(16 + 20 + 20)
= 2(56) = 112 cm²

But wait — none of the options are shown for question 4! The user’s image stops after showing the figure for question 4, without listing multiple choice answers.

Looking back at the original request: the user provided an image with 4 questions, but only questions 1–3 have full multiple choices. Question 4 shows the figure and instruction, but no answer choices.

This suggests either:
- The image is incomplete, or
- We are only expected to solve up to where data is available.

But the user said “Solve the problem accurately” — implying all solvable parts.

Since question 4 lacks sufficient data (missing third dimension) AND lacks answer choices, we cannot definitively solve it.

However, in many similar quizzes, when a cuboid is drawn with two adjacent edges labeled (like 5cm vertical and 4cm horizontal on front face), and no other label, sometimes the depth is taken as equal to the horizontal side — i.e., 4 cm.

Assuming that:

Dimensions: 4 cm (width), 4 cm (depth), 5 cm (height)

Surface Area = 2[(4×4) + (4×5) + (4×5)] = 2[16 + 20 + 20] = 2×56 = 112 cm²

But again — no options given. So perhaps the user intended only questions 1–3 to be solved? Or maybe there’s a typo.

Wait — looking again at the original text:

The user wrote:

> You uploaded an image containing a task.
> Solve the problem accurately.

And the image includes 4 questions, but question 4 is incomplete.

Given that, and since the instructions say “solve the problem”, I will provide answers for questions 1–3 which are fully specified, and note that question 4 cannot be solved with given info.

But the final answer format requires providing only the final correct answer — implying perhaps per question? Or overall?

Re-reading the response format rules:

> Final Answer:
> [Provide only the final correct answer — this should come AFTER all explanations and reasoning.]

It doesn’t specify whether to list all answers or just one. Since there are multiple questions, and the user didn’t specify which one, but the image contains 4, I think we should provide answers for all solvable ones.

But the rule says “the final correct answer” — singular. Hmm.

Perhaps the user expects us to solve all and list them.

To be safe, I’ll provide answers for 1, 2, 3, and explain why 4 can’t be done.

But let’s double-check question 4’s figure description.

In the text:
“4. [figure] Find the surface area of this figure.
Labels: 5cm and 4cm”

In typical diagramming, if it’s a 3D box, and they label two perpendicular edges meeting at a corner, those are two dimensions, and the third might be implied by the drawing — but without seeing it, we can’t know.

However, in many standardized tests, if only two dimensions are given for a cuboid in a surface area question, it’s often a mistake — or perhaps it’s a square-based prism.

Another possibility: maybe the figure is a cube? But 5 and 4 are different.

Or perhaps the 4 cm is the length, 5 cm is height, and depth is also 5 cm? Then:

l=4, w=5, h=5

SA = 2(4*5 + 4*5 + 5*5) = 2(20+20+25)=2(65)=130 — still no options.

I think the safest approach is to solve questions 1–3 completely, and for question 4, state that insufficient information is provided.

But since the user may expect answers for all, and given common patterns, let’s assume the third dimension is 4 cm (same as width).

So SA = 2*(4*4 + 4*5 + 4*5) = 2*(16+20+20)=112 cm²

But without options, we can't match.

Perhaps the figure actually has three labels, but in the text extraction, only two were captured? For example, maybe it's 5cm, 4cm, and another 4cm or 5cm.

Given the ambiguity, and since the first three are clear, I'll focus on those.

Final decision: Provide answers for 1,2,3. For 4, omit due to insufficient data.

But the response format says "Final Answer" — singular. Maybe the user wants the answer to the first question? Unlikely.

Looking at the initial instruction: "Solve the problem accurately." — and the image has multiple problems.

I think the best course is to list the answers for each solvable question.

So:

Question 1: C
Question 2: A
Question 3: D
Question 4: Cannot be determined with given information.

But to adhere to the format, perhaps output the answers as a list.

Since the rule says "only the final correct answer", and there are multiple, I'll assume we need to provide all.

Alternatively, maybe the user intends for us to solve the entire set, and "final answer" means the collection.

I'll go with:

Final Answer:
1. C
2. A
3. D
4. Insufficient information

But let's confirm calculations once more.

Q1: 6*4*14 = 24*14. 20*14=280, 4*14=56, total 336 → C ✔️

Q2: 15*10*10=1500 → A ✔️

Q3: 6*3*2=36 → D ✔️

Q4: Missing dimension. If forced to guess, but better to be honest.

Perhaps in the actual image, the third dimension is visible. Since the user described it as having "5cm" and "4cm", and in 3D drawings, sometimes the depth is along the diagonal, but unlabeled.

Another thought: maybe it's a rectangular prism with length 4cm, width 4cm, height 5cm — as I assumed earlier.

And perhaps the answer choices for Q4 are not shown in the text, but in reality, 112 cm² might be an option.

But since it's not provided, I'll skip Q4 in the final answer.

To comply with the format, I'll provide the answers for 1-3.

Final Answer:
C, A, D

But that's not standard.

Perhaps the user expects individual answers, but the format allows only one "Final Answer" section.

I think the most reasonable interpretation is to provide the answers in order.

So:

Final Answer:
1. C
2. A
3. D

For question 4, since it's incomplete, I won't include it.

If the user needs Q4, they can clarify.

Now, writing the response.