Chapter 9.1, Problem 35E

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

The sum of the lengths of all edges of a cube is 60 cm. Find the volume V and the surface area T of the cube.

To determine

**To find:**

The volume V and the surface area T of the cube such that the sum of the lengths of all edges of the cube is 60 cm.

Explanation

The volume of any solid is the region of space occupied by it and in general the volume of a solid is given by the product of its base area and altitude.

For a regular solid prism with base area

The lateral area of any solid is the area of all the number of lateral sides that it have, excluding the area of the top and the bottom of the solid.

The lateral area

Here,

**Calculation:**

Given,

The sum or the length of all edges of the cube is 60 cm.

Let â€˜

A cube has 4 lateral edges and 8 base edges, in total it has 12 edges.

Since, each edge measures of length â€˜

We have;

Thus, the length of each edge of the cube is 5 cm

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