Volume of Triangular Pyramids

In this video, Mr. J explains how to find the volume of a triangular pyramid. He introduces the formula for volume as one-third times the area of the base times the height. An example is provided, where the area of the triangular base is calculated using the formula one-half times the base times the height. The video also covers an alternative method using the area of the base times the height divided by three, showing that both methods yield the same result. The final volume is calculated and rounded to the nearest hundredth, with the result expressed in cubic inches.

What is the formula used to find the volume of a triangular pyramid?

• Area of the base plus the height

• Base times height divided by two

• One-third times the area of the base times the height

• Area of the base times height

Tags

CCSS.6.G.A.1

Which formula can be used to find the area of a triangular base?

• Base plus height

• One-half times the base times the height

• Base times height divided by three

• Base times height

Tags

CCSS.6.G.A.1

If the base of a triangle is 7 inches and the height is 8 inches, what is the area of the triangle?

• 28 square inches

• 14 square inches

• 35 square inches

• 56 square inches

Tags

CCSS.HSG.GMD.A.3

What is the next step after finding the area of the base in calculating the volume of a triangular pyramid?

• Multiply the area by the height

• Subtract the height from the area

• Divide the area by the height

• Add the area to the height

Tags

CCSS.HSG.GMD.A.3

What is the volume of a triangular pyramid with a base area of 28 square inches and a height of 10 inches?

• 140 cubic inches

• 56 cubic inches

• 93.33 cubic inches

• 280 cubic inches

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

What is the result of 28 times 10 in the context of calculating the volume?

• 140

• 56

• 93

• 280

Tags

CCSS.HSG.GMD.A.3

What is the final step in calculating the volume of a triangular pyramid using the formula one-third times the area of the base times the height?

• Add the base area to the height

• Multiply the result by one-third

• Divide the result by three

• Multiply the result by three

Tags

CCSS.HSG.GMD.A.3

How can you verify the volume calculation using a different method?

• Add the base area to the height and divide by three

• Subtract the height from the base area and divide by two

• Multiply the base area by the height and divide by three

• Multiply the base area by the height and divide by two

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

What is the significance of rounding the volume to the nearest hundredth?

• It makes the calculation easier

• It simplifies the formula

• It provides a more precise measurement

• It reduces the number of steps

Tags

CCSS.5.MD.C.5C

Why is it important to verify the volume calculation using an alternative method?

• To make the process faster

• To check for errors

• To avoid using decimals

• To use a different formula

Tags

CCSS.5.MD.C.5C