Explanation:
We are given the formula:
Volume = length × width × height
Let’s solve each problem one by one.
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Problem 1:
Green rectangular prism:
- Length = a cm
- Width = 6 cm
- Height = 6 cm
- Volume = 288 cm³
So:
a × 6 × 6 = 288
a × 36 = 288
a = 288 ÷ 36 =
8
✔ So, a = 8 cm
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Problem 2:
Purple rectangular prism:
- Length = 2.5 ft
- Width = 3 ft
- Height = 6 ft
Volume = 2.5 × 3 × 6
First, 2.5 × 3 = 7.5
Then, 7.5 × 6 =
45
✔ Volume = 45 ft³
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Problem 3:
Red rectangular prism:
- Length = 6 in
- Width = 5 in
- Height = b in
- Volume = 90 in³
So:
6 × 5 × b = 90
30 × b = 90
b = 90 ÷ 30 =
3
✔ b = 3 in
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Problem 4:
Blue cube-like shape (but not necessarily a cube — sides are 2 cm, 4 cm, and c cm):
- Length = 2 cm
- Width = 4 cm
- Height = c cm
- Volume = 28 cm³
So:
2 × 4 × c = 28
8 × c = 28
c = 28 ÷ 8 =
3.5
✔ c = 3.5 cm
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Problem 5:
Orange rectangular prism:
- Length = 9 in
- Width = 7.5 in
- Height = 2 in
Volume = 9 × 7.5 × 2
First, 9 × 7.5 = 67.5
Then, 67.5 × 2 =
135
✔ Volume = 135 in³
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Problem 6:
Teal rectangular prism:
- Length = 10 m
- Width = 3 m
- Height = 1.5 m
Volume = 10 × 3 × 1.5
10 × 3 = 30
30 × 1.5 =
45
✔ Volume = 45 m³
Now let’s list all answers clearly:
1. a = 8
2. Volume = 45 ft³
3. b = 3
4. c = 3.5
5. Volume = 135 in³
6. Volume = 45 m³
Final Answer:
a = 8; Volume = 45 ft³; b = 3; c = 3.5; Volume = 135 in³; Volume = 45 m³
Parent Tip: Review the logic above to help your child master the concept of volume of a cube worksheet.
