A rectangular prism has a volume of 7.875 m to 3 cube and a height of 3.5m . What is the area of the base of the prism? Please show me each step to get this. Please
2.25 is my answer ????
To find the area of the base of the prism, you can use the formula:
Volume = Area of base × Height
Given that the volume of the prism is 7.875 m^3 and the height is 3.5 m, we can rearrange the formula to solve for the area of the base:
Area of base = Volume ÷ Height
Let's plug in the values and calculate:
Area of base = 7.875 m^3 ÷ 3.5 m
Step 1: Divide 7.875 m^3 by 3.5 m:
Area of base = 2.25 m^2
So, the area of the base of the prism is 2.25 m^2.
Sure! To find the area of the base of a rectangular prism, we first need to understand the formula for finding the volume of a rectangular prism.
The formula for volume is given as:
Volume = length × width × height
From the given information, we know the volume is 7.875 m³ and the height is 3.5 m. We can now rearrange the formula to solve for the area of the base.
Step 1: Let's substitute the known values into the formula:
7.875 m³ = length × width × 3.5 m
Step 2: Now we can isolate the unknown value (area of the base). Divide both sides of the equation by the height:
7.875 m³ ÷ 3.5 m = length × width
Step 3: Simplify the equation:
2.25 m² = length × width
Step 4: So, the area of the base (length × width) is equal to 2.25 m².
7.875 = area of base * 3.5
area of base = 7.875/3.5 = ....