Question

The area of the base (B) of a shipping box is 14 1 2 in2. The height (h) of the box is 2 1 4 in. When determining the volume of the box, which statements are correct?

Answer 1

`V = 32(5)/(8)in^3`

Explanation:

Given

`B = 14(1)/(2)in^2` --- Base Area

`h = 2(1)/(4)in` --- Height

Required

Correct statement to calculate the volume of the box.

No options were given. So, the general explanation is as follows.

Given the base area and the height of the box, the volume is calculated by multiplying the given base area and the height.

So, we have:

`Volume (V) = Base\ Area * Height`

`V = B *h`

`V = 14(1)/(2) * 2(1)/(4)`

Convert to improper fractions

`V = (29)/(2) * (9)/(4)`

`V = (29*9)/(2*4)`

`V = (261)/(8)`

`V = 32(5)/(8)in^3`