Question

Use the image to answer the question.%0D%0A%0D%0A%0D%0A%0D%0AFind the lateral surface area of the rectangular prism represented by the given net.

Answer 1

To find the lateral surface area of the rectangular prism represented by the given net, we need to find the area of all the lateral faces.

The net shows three rectangles - a large one on the bottom, a smaller one on top, and a long skinny one connecting the two.

The lateral surface area is the sum of the areas of all three rectangles.

Let's label the dimensions of the rectangles:

- The larger rectangle has dimensions 6cm x 4cm
- The smaller rectangle has dimensions 3cm x 4cm
- The skinny rectangle has dimensions 6cm x 3cm

Now, let's calculate the area of each rectangle:

1. Area of the larger rectangle = 2(6cm x 4cm) = 2(24cm^2) = 48cm^2
2. Area of the smaller rectangle = 2(3cm x 4cm) = 2(12cm^2) = 24cm^2
3. Area of the skinny rectangle = 6cm x 3cm = 18cm^2

Now, add up the areas of all three rectangles:

48cm^2 + 24cm^2 + 18cm^2 = 90cm^2

Therefore, the lateral surface area of the rectangular prism is 90 square centimeters.