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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鈥檚 total area is 750 m2. Find the volume.

Short Answer

Expert verified

The volume of prism is288m3 .

Step by step solution

01

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 is750m2 .

02

Step 2. Consider the variable.

Let the lateral edges is x.

Then, the edges of square are 3x.

03

Step 3. Determine the total volume.

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

v=bh=5+112(4)(9)[substitute]=288m3[simplify]

Thus, the volume of prism is288鈥尘3 .

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Most popular questions from this chapter

Copy and complete the table below for the regular square pyramid.

Height,鈥�h厂濒补苍迟鈥夆赌塇别颈驳丑迟,鈥�l5叠补蝉别鈥夆赌塭诲驳别8尝补迟别谤补濒鈥夆赌塭诲驳别

Consider the following prism.

Suppose the bases are regular hexagons with 4cm edges.

a.Find the lateral area.

b.Find the base area.

c.Find the total area.

d.Find the volume.

V- ABCD is a regular square pyramid. Find the following numerical answers.

Area鈥夆赌�of鈥夆赌�螖VBC=___

What is the minimum number of faces a prism can have?

Facts about the base of a right prism and the height of the prism are given. Sketch each prism and find its lateral area, total area and volume.

Triangle with sides 9, 12, 15, h = 10.
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