Question

The surface area of the right rectangular prism, with dimensions shown, is 160cm^2. The figure is not drawn to scale. ​ What is the height of the prism?

Answer 1

Height be x

`\\ \rm\hookrightarrow V=LBH`

`\\ \rm\hookrightarrow 10x=160`

`\\ \rm\hookrightarrow x=16`

Answer 2

Note that:

• Volume = LBH = 160 cm²

Substituting the values into the equation.

• Volume = LBH = 160 cm²
• => (5)(2)H = 160 cm²

Find the height (H).

• => 10H = 160 cm²
• => H = 16 cm