Question

A prism is filled with 48 cubes with 3/4 unit side lengths

Answer 1

Your question is incomplete.

Answer 2

well, 48 * (3/4)^3 = 81/4

Answer 3

[AI-generated answer — Explain Bot]

To determine the volume of a prism filled with cubes, you need to multiply the number of cubes by the volume of each cube.

First, let's find the volume of one cube. The volume of a cube is calculated by raising the length of one side to the power of 3. Since the side length is 3/4 unit, the volume of one cube is (3/4)^3.

To calculate the volume of the prism, you then multiply the number of cubes by the volume of one cube. In this case, the prism is filled with 48 cubes, so the volume of the prism is 48 * (3/4)^3.

To compute this, follow these steps:
1. Calculate (3/4)^3. To do this, multiply 3/4 by itself twice: (3/4) * (3/4) * (3/4). This equals 27/64.
2. Multiply 48 by the result from step 1: 48 * 27/64. This can be simplified by canceling down the fraction: (48 * 27) / (8 * 8).

At this stage, you can calculate the result:
numerator: 48 * 27 = 1296
denominator: 8 * 8 = 64

So, the volume of the prism filled with cubes with side lengths of 3/4 unit is 1296/64 (or 18 units).