Sure, let's break down the problem step by step:
### Part 1: Find the area of ONE base/face of the cube
The area of one face of a cube is equal to the side length of the cube squared. Let's call the side length of the cube "s" yards.
Area of one base = \( s^2 \) square yards (yd²)
### Part 2: What is the height of the cube?
For a cube, all sides are equal. Therefore, the height of the cube is also "s" yards.
Height = \( s \) yards (yds)
### Part 3: Find the volume of the cube using \( V = \text{(area of the base)} \times \text{(height of prism)} \)
From Part 1, the area of the base is \( s^2 \) square yards.
From Part 2, the height is \( s \) yards.
Thus, the volume of the cube \( V \) is:
\[ V = (\text{Area of the base}) \times (\text{Height of prism}) \]
\[ V = s^2 \times s \]
\[ V = s^3 \]
The volume of the cube, in cubic yards (yd³), is:
\[ V = s^3 \, \text{yd}^3 \]
To provide a specific numeric answer, we need the side length "s." If no specific side length is given, the volume can only be represented algebraically as \( s^3 \) cubic yards.
The formula for volume of a PRISM is V=(area of the base) x (height of prism) (3 points)Part 1: Find the area of ONE base/face of the cube: Area = yd2Part 2: What is the height of the cube? ydsPart 3: Find the volume of the cube using V=(area of the base) x (height of prism) = yds
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