Chapter 12: Q32. (page 480)

A right prism has square bases with edges that are three times as long as the lateral edges. The prism’s total area is 750 m². Find the volume.

Short Answer

Expert verified

The volume of prism is $288 m^{3}$ .

Step by step solution

Step 1. Given information.

A right prism has square bases with edges that are three times as long as the lateral edges and the total area is ${750m}^{2}$ .

Step 2. Consider the variable.

Let the lateral edges is x.

Then, the edges of square are 3x.

Step 3. Determine the total volume.

To find the area, multiply the base area and height,

$\begin{matrix} v = b h \\ = \frac{5 + 11}{2} (4) (9) [substitute] \\ = 288 m^{3} [simplify] \end{matrix}$

Thus, the volume of prism is $288 m^{3}$ .

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A right prism has square bases with edges that are three times as long as the lateral edges. The prism’s total area is 750 m². Find the volume.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Consider the variable.

Step 3. Determine the total volume.

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A right prism has square bases with edges that are three times as long as the lateral edges. The prism’s total area is 750 m2. Find the volume.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Consider the variable.

Step 3. Determine the total volume.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Mechanics Maths

Decision Maths

Applied Mathematics

Statistics

Geometry

Study anywhere. Anytime. Across all devices.

A right prism has square bases with edges that are three times as long as the lateral edges. The prism’s total area is 750 m². Find the volume.