Question

Max's pet inchworm lives in a cardboard box that has a volume of 8080 cubic centimeters. Which of the following could be the dimensions of Max's box? Choose all answers that apply: Choose all answers that apply: (Choice A) A 2\text{ cm}2 cm long, 5\text{ cm}5 cm wide, 8\text{ cm}8 cm high (Choice B) B 4\text{ cm}4 cm long, 5\text{ cm}5 cm wide, 4\text{ cm}4 cm high (Choice C) C 10\text{ cm}10 cm long, 4\text{ cm}4 cm wide, 2\text{ cm}2 cm high

Answer 1

b

Explanation:

Answer 2

All 3 options A,B,C satisfy.

Explanation:

Given : Max's pet inchworm lives in a cardboard box that has a volume of 80 cubic centimeters.

To find : Which of the following could be the dimensions of Max's box? Choose all answers that apply.

Solution :

The volume of the cardboard is

`\text{Volume}=\text{Length}*\text{Width}*\text{Height}`

We have given options,

Option A - 2 cm long,5 cm width, 8 cm high

Applying volume formula,

`\text{Volume}=2*5*8`

`\text{Volume}=80cm^3`

Which is equivalent to Max's pet box.

Option B - 4 cm long,5 cm width, 4 cm high

Applying volume formula,

`\text{Volume}=4*5*4`

`\text{Volume}=80cm^3`

Which is equivalent to Max's pet box.

Option C - 10 cm long,4 cm width, 2 cm high

Applying volume formula,

`\text{Volume}=10*4*2`

`\text{Volume}=80cm^3`

Which is equivalent to Max's pet box.

Therefore, All 3 options satisfying the condition.