Surface Area Of Prisms & Pyramids

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| By Talford
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Talford
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Quizzes Created: 4 | Total Attempts: 24,431
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Surface Area Of Prisms & Pyramids - Quiz

Questions and Answers
  • 1. 

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

    Correct Answer
    D.
  • 2. 

    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?

    Correct Answer
    B.
    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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  • 3. 

    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.

    Correct Answer
    C.
    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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  • 4. 

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

    Correct Answer
    B.
  • 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?

    Correct Answer
    D.
    Explanation
    The provided image shows a triangular pyramid made up of congruent equilateral triangles. To find the surface area of the pyramid, we need to calculate the area of each triangular face and then add them together. Since the triangles are equilateral, we can use the formula for the area of an equilateral triangle, which is (sqrt(3)/4) * side^2. The image shows that each side of the triangle has a length of 4 units. Plugging this value into the formula, we get (sqrt(3)/4) * 4^2 = 4 * sqrt(3) units^2. Since there are 4 triangular faces, the total surface area of the pyramid is 4 * 4 * sqrt(3) = 16 * sqrt(3) units^2.

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  • Current Version
  • Mar 22, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Feb 17, 2014
    Quiz Created by
    Talford
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