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

Answer:

Volume of the piece in the picture = 350 cubic inches

Volume of the remaining piece = 300 cubic inches

Step-by-step 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 + $(\text{Area of the triangular base})\times (\text{Height})$

= 50 + $\frac{1}{2}\times (12\times 5)\times 10$

= 50 + 300

= 350 cubic inches

Volume of the other piece = 650 - 350

                                            = 300 cubic inches