A box is 4 inches wide, 5 inches long, and 3 inches tall. What is the surface area of the box?
Please help me out here
So just add those ?
there are 3 pairs of rectangular faces
so the area is 2(4*5 + 4*3 + 5*3)
To find the surface area of a box, we need to calculate the area of each of its six faces and then add them together.
1. Calculate the area of the bottom face:
The bottom face is a rectangle with dimensions 4 inches by 5 inches.
Area of the bottom face = length × width = 5 inches × 4 inches = 20 square inches.
2. Calculate the area of the top face:
The top face has the same dimensions as the bottom face.
Area of the top face = 20 square inches.
3. Calculate the area of the front face:
The front face is a rectangle with dimensions 4 inches by 3 inches.
Area of the front face = length × width = 3 inches × 4 inches = 12 square inches.
4. Calculate the area of the back face:
The back face has the same dimensions as the front face.
Area of the back face = 12 square inches.
5. Calculate the area of the left side face:
The left side face is a rectangle with dimensions 5 inches by 3 inches.
Area of the left side face = length × width = 3 inches × 5 inches = 15 square inches.
6. Calculate the area of the right side face:
The right side face has the same dimensions as the left side face.
Area of the right side face = 15 square inches.
7. Add up all the areas calculated above:
Total surface area = bottom face + top face + front face + back face + left side face + right side face
= 20 square inches + 20 square inches + 12 square inches + 12 square inches + 15 square inches + 15 square inches
= 94 square inches.
Therefore, the surface area of the box is 94 square inches.
To find the surface area of a box, we need to calculate the area of each of the six sides and then add them together. The formula for finding the surface area of a rectangular prism (which is what a box is) is:
Surface Area = 2(length × width) + 2(width × height) + 2(length × height).
In this case, the width is 4 inches, the length is 5 inches, and the height is 3 inches.
Let's plug in these values into the formula:
Surface Area = 2(5 × 4) + 2(4 × 3) + 2(5 × 3)
Surface Area = 2(20) + 2(12) + 2(15)
Surface Area = 40 + 24 + 30
Surface Area = 94
Therefore, the surface area of the box is 94 square inches.