Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

volume of a rectangular prism use the figures below to answer the quest…

Question

volume of a rectangular prism
use the figures below to answer the questions.
the shaded portions of the 3d figure represent the 2d figure we will use as the parallel bases.
round your final results to two decimal places as needed.
figure a: 3 - dimensional figure
figure b: 2 - dimensional view of base
what is the area of the base of the rectangular prism?
what is the distance between the bases of the rectangular prism?
what is the volume of the rectangular prism?
question help: video message instructor

Explanation:

Step1: Identify base - area formula

The base is a square. Area of a square $A = s^2$. Given from the 2 - D view of the base, if we assume each small square has side - length 1 in, and the base has side - length $s = 5$ in. So $A=5\times5 = 25$ square inches.

Step2: Identify height

The distance between the bases of the rectangular prism is the height $h$. From the 3 - D figure, $h = 10$ in.

Step3: Use volume formula

The volume formula of a rectangular prism is $V=A\times h$. Substitute $A = 25$ square inches and $h = 10$ in. So $V=25\times10=250$ cubic inches.

Answer:

250.00