Question

The oblique rectangular prism below has a length of 6 cm, a width of 8 cm, and a height of 7 cm.What is the area of the base of the prism? What is the volume of the prism?

Answer 1

48 square centimeters, 336 cubic centimeters

Explanation:

edge 2022

Answer 2

Part a) The area of the base of the prism is equal to
`48\ cm^(2)`

Part b) The volume of the prism is equal to
`336\ cm^(3)`

Explanation:

we know that

The volume of the prism is equal to

`V=Bh`

where

B is the area of the base of the prism

h is the height of the prism

step 1

Find the area of the base of the prism

The base of the prism is a rectangle

so

The area is equal to

`B=LW=6*8=48\ cm^(2)`

step 2

Find the volume of the prism

we have

`B=48\ cm^(2)`

`h=7\ cm`

substitute in the formula of volume

`V=48*7=336\ cm^(3)`