Question

A rectangular prism with dimensions 5 inches by 13 inches by 10 inches was cut to leave a piece as shown in the image. What is the volume of this piece? What is the volume of the other piece not pictured?

Answer 1

Volume of the piece in the picture = 350 cubic inches

Volume of the remaining piece = 300 cubic inches

Explanation:

Given question is incomplete without the picture; here is the picture as an attachment.

Volume of the rectangular prism = Length × width × height

V = 5 × 13 × 10

= 650 cubic inches

Now volume of the piece given in the picture = Volume of prism at the base + Volume of the prism with triangular base

= 10×5×1 +
`(\text{Area of the triangular base})* (\text{Height})`

= 50 +
`(1)/(2)* (12* 5)* 10`

= 50 + 300

= 350 cubic inches

Volume of the other piece = 650 - 350

= 300 cubic inches