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? square centimeters what is the volume of the prism? cubic centimeters

Explanation:

Step1: Calculate base - area

For a rectangular - based prism, the base is a rectangle. The area formula of a rectangle is $A = l\times w$, where $l$ is the length and $w$ is the width. Given $l = 6$ cm and $w = 8$ cm.
$A=6\times8 = 48$ square centimeters.

Step2: Calculate volume

The volume formula of a prism is $V=A\times h$, where $A$ is the base - area and $h$ is the height. We found $A = 48$ square centimeters and $h = 7$ cm.
$V = 48\times7=336$ cubic centimeters.

Answer:

The area of the base of the prism is 48 square centimeters.
The volume of the prism is 336 cubic centimeters.