Lesson Worksheet: Volumes of Oblique Prisms Mathematics

In this worksheet, we will practice finding the volumes of oblique prisms that have bases in the shape of a rectangle, a square, a parallelogram, or a triangle.

Q1:

Find the volume of the given oblique rectangular prism.

Q2:

Determine the volume of an oblique hexagonal prism with a base area of 125 square centimeters and a perpendicular height of 10.4 centimeters.

Q3:

Determine the volume of an oblique pentagonal prism with a base area of 55 square centimeters and a perpendicular height of 2.8 centimeters.

Q4:

Find the volume of the given oblique pentagonal prism with base area .

Q5:

Find the volume of the given oblique triangular prism.

A18.816 cm³
B37.632 cm³
C5.88 cm³
D9.408 cm³
E11.76 cm³

Q6:

True or False: A volume of an oblique prism is equal to the volume of a right prism with the same base and a lateral edge that is equal to the perpendicular height of the oblique prism.

AFalse
BTrue

Q7:

Find the volume of an oblique square prism whose base has a side length of 10 cm if the prism’s lateral edge is 18 cm and its height is 17 cm.

Q8:

You are an engineer designing a tunnel from point A to point B. The tunnel’s shape is an oblique prism whose bases are the entrance at A and the exit at B and have the shape of a rectangle with the dimensions 92 cm and 199 cm. The length of the tunnel is represented by the distance between A and B. Due to safety precautions, you want to know the amount of air. What is the volume of the air inside that tunnel in cubic meters? Round the answer to two decimal places.