Applications of Surface Area of Prisms Quick Check
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Question
Use the image to answer the question.
An illustration shows a 3 D triangular prism with the triangular face as a right triangle. The edges that are not visible are represented by dashed lines. The length and base of the triangular prism measures 12 centimeters and 9 centimeters. The perpendicular side of the triangular face measures 5 centimeters and the hypotenuse measures 13 centimeters.
A wedge of cheese is shaped like a triangular prism. How much plastic wrap is needed to cover the wedge of cheese?
(1 point)
Responses
287 cm2
287 cm squared
240 cm2
240 cm squared
330 cm2
330 cm squared
810 cm2
810 cm squared
To find the total surface area of the triangular prism (wedge of cheese), we need to find the lateral area (the three rectangular faces) and the area of the two triangular faces.
Lateral Area:
Perimeter of triangular base = 9 + 5 + 13 = 27 cm
Lateral area = Perimeter * Height
= 27 * 12
= 324 cm2
Area of triangular faces:
1/2 * base * height
= 1/2 * 9 * 5 + 1/2 * 9 * 12
= 22.5 + 54
= 76.5 cm2
Total surface area = Lateral area + 2 * Area of triangular faces
= 324 + 2 * 76.5
= 324 + 153
= 477 cm2
Therefore, the answer is not provided in the options.
Find the surface area of a cube with sides measuring 11 meters.
726 m2
Cherese needs to buy some cardboard to build a box 10 inches long, 9 inches wide, and 7 inches high. If she purchases 500 square inches of cardboard, how much will be left over?
54 in.2
A wedge of cheese is shaped like a triangular prism. How much plastic wrap is needed to cover the wedge of cheese?
330 cm2
Jordan purchased a piece of fabric that is 18 cm by 18 cm in order to make a tent for her little sister’s dolls. Using the dimensions for the tent shaped as a triangular prism, how much fabric will be left over?
84 cm2
A wooden door stopper needs to be covered with stickers to match the door for a directing contest. If one package of stickers covers a surface area of 75 square centimeters, how many packages of stickers need to be purchased?
You will need 6 packages of stickers.