50+ volume and surface area worksheets on Quizizz | Free & Printable - Free Printable

Let’s solve each problem step by step.

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Problem 1: Cube (Side A and Volume)

- The cube has all sides = 9 cm.
- Side A is one face of the cube → it’s a square with side 9 cm.
- Area of side A = 9 × 9 = 81 cm²
- Volume of cube = side³ = 9 × 9 × 9 = 729 cm³
- So, volume = 729 cm³

✔ Check: 9×9=81, 81×9=729 → correct.

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Problem 2: Square Pyramid (Side B and Volume)

- Base is a square: 12 mm × 12 mm.
- Height of pyramid = 23 mm (given as h).
- Side B is the base → area = 12 × 12 = 144 mm²
- Volume of pyramid = (1/3) × base area × height
- = (1/3) × 144 × 23
- First, 144 ÷ 3 = 48
- Then, 48 × 23:
- 48 × 20 = 960
- 48 × 3 = 144
- Total = 960 + 144 = 1104 mm³

✔ Check: 144 × 23 = 3312; 3312 ÷ 3 = 1104 → correct.

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Problem 3: Rectangular Prism (Side C and Volume)

- Dimensions: length = 20 ft, width = 5 ft, height = 11 ft.
- Side C is the front face → looks like it’s 11 ft high and 5 ft wide? Wait — let’s check the diagram description.

Actually, looking at the labels:

The box shows:
- One edge labeled “20 ft” (probably length)
- One edge labeled “11 ft” (height)
- One edge labeled “5 ft” (width)

Side C is shaded — from typical diagrams, if it’s the front face, it would be height × width → 11 ft × 5 ft.

But wait — in the image, side C is shown on the front, which appears to be 11 ft tall and 5 ft wide? Or maybe 20 ft long?

Wait — actually, re-examining: the dimension along the bottom front is 5 ft, vertical is 11 ft, and depth is 20 ft.

So side C (shaded front face) = 5 ft (width) × 11 ft (height) = 55 ft²

Volume = length × width × height = 20 × 5 × 11

First, 20 × 5 = 100
Then, 100 × 11 = 1100 ft³

✔ Check: 20×5=100, 100×11=1100 → correct.

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Problem 4: Bathroom Floor Area

- Length = 14 ft, Width = 13 ft
- Area = length × width = 14 × 13

Calculate:
14 × 10 = 140
14 × 3 = 42
Total = 140 + 42 = 182 ft²

✔ Check: 14×13 = (10+4)(10+3) = 100 + 30 + 40 + 12 = 182 → correct.

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Problem 5: Box Volume

- Length = 54 inches
- Height = 17 inches
- Width = 32 inches

Volume = 54 × 17 × 32

We can multiply step by step.

First, 54 × 17:

54 × 10 = 540
54 × 7 = 378
Total = 540 + 378 = 918

Now, 918 × 32:

Break 32 into 30 + 2

918 × 30 = 918 × 3 × 10 = (2754) × 10 = 27,540
918 × 2 = 1,836
Total = 27,540 + 1,836 = 29,376 in³

✔ Double-check:

Alternative way: 54 × 32 first.

54 × 32 = 54 × (30 + 2) = 1620 + 108 = 1728
Then 1728 × 17:

1728 × 10 = 17,280
1728 × 7 = 12,096
Total = 17,280 + 12,096 = 29,376 → same answer. Correct.

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Final Answer:

The area of side A = 81 cm²
The volume of the cube = 729 cm³
The area of side B = 144 mm²
The volume of the pyramid = 1104 mm³
The area of side C = 55 ft²
The volume of the box = 1100 ft³
The area of the bathroom floor is 182 ft²
The volume of the box is 29376 in³