Calculating Volume and Surface Area of Pyramids

This video tutorial explains how to find the volume and surface area of pyramids. It begins with an introduction to the formulas used for these calculations. The volume of a pyramid is calculated using the formula 1/3 times the area of the base times the height. An example is provided where the base is a rectangle, and the volume is calculated step-by-step. The tutorial then moves on to calculating the surface area of a pyramid, which involves finding the area of the base and the triangular faces. The process is demonstrated with examples, emphasizing the importance of using correct units for volume and area.

What is the formula used to calculate the volume of a pyramid?

• 1/3 * base area * height

• 1/2 * base area * height

• base area * height

• 2 * base area * height

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CCSS.HSG.GMD.A.3

If the base area of a pyramid is 56 km² and the height is 7 km, what is the volume?

• 130.67 km³

• 133 km³

• 132 km³

• 131 km³

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CCSS.HSG.GMD.A.3

What units are used for measuring the volume of a pyramid?

• Meters cubed

• Kilometers

• Cubic kilometers

• Square kilometers

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CCSS.5.MD.C.3B

CCSS.5.MD.C.4

CCSS.5.MD.C.3A

What is the first step in finding the surface area of a pyramid?

• Adding the areas of all faces

• Calculating the slant height

• Measuring the height of the pyramid

• Calculating the area of the base

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CCSS.7.G.B.6

What shape is the base of the pyramid discussed in the video?

• Triangle

• Square

• Rectangle

• Circle

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CCSS.7.G.A.3

If the base of the pyramid measures 6 km by 8 km, what is the area of the base?

• 48 km²

• 54 km²

• 50 km²

• 52 km²

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CCSS.7.G.B.6

How do you calculate the area of a triangle?

• 0.5 * base * height

• base * height / 2

• 0.5 * base * base

• base * height

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CCSS.6.G.A.1

What is the total surface area of the pyramid if the base area is 48 km², and the areas of the triangular faces are 68 km² and 53.4 km²?

• 171 km²

• 170 km²

• 172 km²

• 169.4 km²

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CCSS.7.G.B.6

What is the area of the front and back triangular faces if each has a base of 8 km and a height of 8.5 km?

• 68 km²

• 74 km²

• 70 km²

• 72 km²

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CCSS.7.G.B.6

What is the area of the side triangular faces if each has a base of 6 km and a height of 8.9 km?

• 58 km²

• 56.5 km²

• 55 km²

• 53.4 km²

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CCSS.7.G.B.6