1. Explain how to find the volume of the rectangular prism. Show all steps
2. Explain how to find the Surface Area of the rectangular prism above. Show all steps
base: 5 in.
Height: 3.5 in.
length: 1 in.
To find the volume of the rectangular prism, you can use the formula V = l x w x h, where l is the length, w is the width, and h is the height.
Given:
Length (l) = 5 in.
Width (w) = 3.5 in.
Height (h) = 1 in.
Substitute the given values into the formula:
V = 5 x 3.5 x 1
V = 17.5 in³
So, the volume of the rectangular prism is 17.5 cubic inches.
To find the Surface Area of the rectangular prism, you need to calculate the area of each of the prism's six faces and add them together.
The Surface Area of a rectangular prism can be calculated by adding the areas of its individual faces. The formula for the total Surface Area (SA) of a rectangular prism is SA = 2lw + 2lh + 2wh.
Given:
Length (l) = 5 in.
Width (w) = 3.5 in.
Height (h) = 1 in.
Substitute the given values into the formula:
SA = 2(5 x 3.5) + 2(5 x 1) + 2(3.5 x 1)
SA = 2(17.5) + 2(5) + 2(3.5)
SA = 35 + 10 + 7
SA = 52 in²
So, the Surface Area of the rectangular prism is 52 square inches.
1. Explain how to find the volume of the rectangular prism. Show all steps
2. Explain how to find the Surface Area of the rectangular prism above. Show all steps
width: 5 in.
Height: 3.5 in.
length: 1 in.
1. To find the volume of the rectangular prism, you can use the formula V = l x w x h, where l is the length, w is the width, and h is the height.
Given:
Length (l) = 1 in.
Width (w) = 5 in.
Height (h) = 3.5 in.
Substitute the given values into the formula:
V = 1 x 5 x 3.5
V = 17.5 in³
So, the volume of the rectangular prism is 17.5 cubic inches.
2. To find the Surface Area of the rectangular prism, you need to calculate the area of each of the prism's six faces and add them together.
The Surface Area of a rectangular prism can be calculated by adding the areas of its individual faces. The formula for the total Surface Area (SA) of a rectangular prism is SA = 2lw + 2lh + 2wh.
Given:
Length (l) = 1 in.
Width (w) = 5 in.
Height (h) = 3.5 in.
Substitute the given values into the formula:
SA = 2(1 x 5) + 2(1 x 3.5) + 2(5 x 3.5)
SA = 2(5) + 2(3.5) + 2(17.5)
SA = 10 + 7 + 35
SA = 52 in²
So, the Surface Area of the rectangular prism is 52 square inches.
If you wanted to know how much water this rectangular prism could hold inside of it, which measurement would you use?
A. volume
B. surface area
A. volume
The volume of the rectangular prism represents the amount of space inside the prism, so if you wanted to know how much water the rectangular prism could hold inside of it, you would use the volume measurement. The volume tells you how much the prism can contain, whereas the surface area only refers to the total area of the external faces of the prism.