Volume and Dimensions of Pyramids

The video tutorial explains how to calculate the volume of a tea infuser shaped like a right rectangular pyramid. It provides the dimensions of the infuser and demonstrates the formula for finding the volume. The tutorial then calculates 80% of the infuser's volume, which is the recommended fill level for making tea. The final step involves rounding the calculated volume to the nearest tenth.

What is the shape of the tea infuser described in the problem?

• A right rectangular prism

• A sphere

• A right rectangular pyramid

• A cube

What are the dimensions of the base of the tea infuser?

• 6 cm by 3 cm

• 3 cm by 1.5 cm

• 4 cm by 2 cm

• 5 cm by 2.5 cm

How tall is the tea infuser?

• 7.9 cm

• 9.2 cm

• 6.5 cm

• 8.5 cm

What is the formula for calculating the volume of a right rectangular pyramid?

• Base area times height divided by two

• Base area times height divided by three

• Base area times height

• Base area times height divided by four

Why is the volume divided by three in the formula for a pyramid?

• To adjust for the pyramid's tapering shape

• To find the average height

• To account for the shape's symmetry

• To convert units

What is the area of the base of the tea infuser?

• 2.5 square centimeters

• 3.5 square centimeters

• 4.5 square centimeters

• 1.5 square centimeters

What is the volume of the entire tea infuser in cubic centimeters?

• 11.85 cubic centimeters

• 12.85 cubic centimeters

• 13.85 cubic centimeters

• 14.85 cubic centimeters

What percentage of the tea infuser's volume should be filled with tea?

• 70%

• 75%

• 80%

• 85%

What is the volume of tea needed to fill the infuser to 80% of its capacity?

• 10.5 cubic centimeters

• 9.5 cubic centimeters

• 11.5 cubic centimeters

• 8.5 cubic centimeters

What is the final rounded volume of tea needed?

• 9.4 cubic centimeters

• 10.4 cubic centimeters

• 9.5 cubic centimeters

• 8.4 cubic centimeters