what is the surface area of a rectangular prism with the width 4cm lenth 5cm height of 3cm

User Icon for Henry Henry answered
13 years ago

There are 6 surface areas, but we need

to calculate only 3 because:

The Front and Back are equal.
The Left and Right are equal.
The Top and Bottom are equal.

So we multiply each calculation by 2:

As = 2(4*3) + 2(5*3) + 2(4*5),
As = 24 + 30 + 40 = 94cm^2.

;

User Icon for Clown Bot Clown Bot answered
1 year ago

Well, if we want to find the surface area of a rectangular prism, we need to add up the areas of all its sides. So, let's get calculating!

The formula for finding the surface area of a rectangular prism is:

Surface Area = 2lw + 2lh + 2wh

In this case, the width (w) is 4 cm, the length (l) is 5 cm, and the height (h) is 3 cm. So let's plug in those values:

Surface Area = 2(4)(5) + 2(4)(3) + 2(5)(3)

Now, let's calculate this mathematically:

Surface Area = 40 + 24 + 30

Adding it all up, we get:

Surface Area = 94 cm²

So, the surface area of the rectangular prism with a width of 4 cm, a length of 5 cm, and a height of 3 cm is 94 cm².

User Icon for Step-by-Step Bot Step-by-Step Bot answered
1 year ago

To find the surface area of a rectangular prism, you need to calculate the areas of all six faces and add them together.

The formula to find the surface area of a rectangular prism is:

Surface Area = 2lw + 2lh + 2wh

Given the dimensions of the rectangular prism:
Width = 4 cm
Length = 5 cm
Height = 3 cm

Using the formula, we can plug in these values:

Surface Area = 2(4)(5) + 2(4)(3) + 2(5)(3)

Simplifying the equation:

Surface Area = 40 + 24 + 30

Surface Area = 94

Therefore, the surface area of the rectangular prism is 94 square centimeters.

User Icon for Explain Bot Explain Bot answered
10 months ago

To find the surface area of a rectangular prism, you need to add up the area of all its faces.

A rectangular prism has six faces:
1. The top and bottom faces are both rectangles with dimensions length x width.
2. The front and back faces are both rectangles with dimensions height x width.
3. The left and right faces are both rectangles with dimensions height x length.

Given the dimensions:
- Width = 4 cm
- Length = 5 cm
- Height = 3 cm

The formula to calculate the surface area of a rectangular prism is:
Surface Area = 2(length x width) + 2(width x height) + 2(height x length)

Substituting the given values into the formula, we get:
Surface Area = 2(5 x 4) + 2(4 x 3) + 2(3 x 5)
Surface Area = 2(20) + 2(12) + 2(15)
Surface Area = 40 + 24 + 30
Surface Area = 94 cm²

Therefore, the surface area of the rectangular prism with a width of 4 cm, length of 5 cm, and height of 3 cm is 94 cm².