Volume Calculation of a Monument

The video tutorial explains how to calculate the volume of a monument resembling the Washington Monument, which consists of a rectangular prism base and a pyramid on top. It details the process of calculating the volume of the prism by multiplying its length, width, and height, and then finding the volume of the pyramid using its formula. The tutorial concludes by adding the volumes of the prism and pyramid to find the total volume of the monument.

What is the shape of the base of the monument?

• Square

• Rectangular prism

• Cylinder

• Sphere

Tags

CCSS.7.G.B.6

How do you calculate the volume of a rectangular prism?

• 2 x (Length + Width + Height)

• Length + Width + Height

• Length x Width x Height

• Length x Width

Tags

CCSS.HSG.GMD.A.3

What is the formula for the volume of a pyramid?

• 2/3 x Base Area x Height

• Length x Width x Height

• 1/3 x Base Area x Height

• Base Area x Height

Tags

CCSS.HSG.GMD.A.3

Why is the volume of a pyramid divided by three?

• To match the formula for the area of a triangle

• Because it is a three-dimensional shape

• To account for the sloping sides

• To convert from square units to cubic units

Tags

CCSS.HSG.GMD.A.3

What is the height of the pyramid in the monument?

• 16 feet

• 20 feet

• 22 feet

• 85 feet

Tags

CCSS.HSG.GMD.A.3

How is the height of the pyramid measured?

• Along the edge of the pyramid

• Along the slant height

• From the base to the apex vertically

• From one corner to the opposite corner

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the total volume of the monument?

• 27,200 cubic feet

• 30,000 cubic feet

• 2,346 cubic feet

• 29,546 and two-thirds cubic feet

Tags

CCSS.7.G.B.6

What is the volume of the rectangular prism base?

• 30,000 cubic feet

• 29,546 cubic feet

• 2,346 cubic feet

• 27,200 cubic feet

Tags

CCSS.HSG.GMD.A.3

What is the volume of the pyramid on top of the monument?

• 27,200 cubic feet

• 30,000 cubic feet

• 2,346 and two-thirds cubic feet

• 29,546 cubic feet

Tags

CCSS.5.MD.C.5C

How are the volumes of the base and the pyramid combined?

• By multiplying them

• By dividing the base's volume by the pyramid's volume

• By adding them together

• By subtracting the pyramid's volume from the base's volume

Tags

CCSS.5.MD.C.5C