What is the surface area of a rectangular prism whose dimensions are 3 3/4 dm×4 1/2 dm×5 dm in square decimeters?

Answer 1

To find the surface area of a rectangular prism, we need to calculate the area of each of the six faces and then add them up.

The rectangular prism has dimensions of 3 3/4 dm × 4 1/2 dm × 5 dm.

1. Face with dimensions 3 3/4 dm × 4 1/2 dm = (15/4) dm × (9/2) dm = 135/8 dm²
2. Face with dimensions 3 3/4 dm × 5 dm = (15/4) dm × 5 dm = 75/4 dm²
3. Face with dimensions 4 1/2 dm × 5 dm = 9/2 dm × 5 dm = 45/2 dm²
4. Face with dimensions 3 3/4 dm × 4 1/2 dm = 135/8 dm²
5. Face with dimensions 3 3/4 dm × 5 dm = 75/4 dm²
6. Face with dimensions 4 1/2 dm × 5 dm = 45/2 dm²

Now, add up each of the areas:
(135/8 + 75/4 + 45/2) + (135/8 + 75/4 + 45/2) = 33 3/8 + 18 3/4 + 22 1/2 = 74.625 square decimeters

So, the surface area of the rectangular prism is 74.625 square decimeters.

Answer 2

What is the surface area of a rectangular prism whose dimensions are 334 dm×412 dm×5 dm in square decimeters?(1 point)
Responses

16 dm2
16 dm squared

8438 dm2
84 Start Fraction 3 over 8 End Fraction dm squared

5818 8 dm2
58 Start Fraction 1 over 8 End Fraction dm squared

11614 dm2

Answer 3

To find the surface area of a rectangular prism, we need to calculate the area of each of the six faces and then add them up.

The rectangular prism has dimensions of 334 dm × 412 dm × 5 dm.

1. Face with dimensions 334 dm × 412 dm = 137608 dm²
2. Face with dimensions 334 dm × 5 dm = 1670 dm²
3. Face with dimensions 412 dm × 5 dm = 2060 dm²
4. Face with dimensions 334 dm × 412 dm = 137608 dm²
5. Face with dimensions 334 dm × 5 dm = 1670 dm²
6. Face with dimensions 412 dm × 5 dm = 2060 dm²

Now, add up each of the areas:
137608 + 1670 + 2060 + 137608 + 1670 + 2060 = 282676 dm²

So, the surface area of the rectangular prism is 282676 square decimeters.
The closest response is 83 3/8 or 8438 dm2.