Surface Area Of Prisms & Pyramids

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1. A cube has a side length of 6.5 cm.  The cube and its net are shown below.  Find the surface area of the cube.

Explanation

The surface area of a cube is found by multiplying the length of one side by itself, and then multiplying that result by 6 (since a cube has 6 equal sides). In this case, the side length of the cube is given as 6.5 cm. Therefore, the surface area of the cube would be 6.5 cm * 6.5 cm * 6 = 253.5 cm².

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About This Quiz
Surface Area Of Prisms & Pyramids - Quiz

This quiz assesses the ability to calculate surface areas of various geometric shapes, specifically prisms and pyramids. It includes practical scenarios like constructing boxes and making class project... see moremodels, enhancing spatial reasoning and geometry skills. see less

2. Juan is contructing boxes like the one shown below.  How much cardboard is needed to make 1 box?

Explanation

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3. A rectangular prism with a length of 14 inches, a width of 4 inches, and height of 6 inches is shown below, along with it's net.  What is the surface area of the prism?

Explanation

The surface area of a rectangular prism can be found by adding up the areas of all six faces. In this case, the prism has two identical rectangular faces with dimensions 14 inches by 4 inches, two identical rectangular faces with dimensions 14 inches by 6 inches, and two identical rectangular faces with dimensions 4 inches by 6 inches. To find the surface area, we can calculate the area of each face and then add them all together. The area of each face is found by multiplying the length and width of the face. Therefore, the surface area of the prism is (14x4) + (14x4) + (14x6) + (14x6) + (4x6) + (4x6) = 280 + 280 + 84 + 84 + 24 + 24 = 776 square inches.

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4. The net of a paperweight is shown below.  Which is closest to the lateral surface area of the paperweight?  

Explanation

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5. Sara was making pyramids for a class project.  The pattern she used to build her triangular pyramid, made of congruent equilateral triangles, is shown below.  Which is closest to the surface area of Sara's pyramid?

Explanation

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A cube has a side length of 6.5 cm.  The cube and its net are...
Juan is contructing boxes like the one shown below.  How much...
A rectangular prism with a length of 14 inches, a width of 4 inches,...
The net of a paperweight is shown below.  Which is closest to the...
Sara was making pyramids for a class project.  The...
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