Volume and Area Calculations

This Khan Academy tutorial by Mr. West covers volume and surface area word problems. It includes examples such as calculating the volume of a cereal box, movable steps, and an art box with an eraser. The tutorial also explores the surface area of a square yard fence, providing step-by-step solutions and emphasizing the importance of understanding geometric formulas.

What is the formula for calculating the volume of a rectangular prism?

• 2 x (Length + Width + Height)

• Length x Width

• Length + Width + Height

• Length x Width x Height

If a box has a volume of 10,000 cm³ and a base of 25 cm by 10 cm, what is its height?

• 25 cm

• 10 cm

• 40 cm

• 50 cm

When calculating the volume of multiple rectangular prisms, what is the correct approach?

• Add the dimensions of all prisms

• Multiply the dimensions of all prisms

• Calculate the volume of each prism separately and then add them

• Subtract the smallest prism's volume from the largest

What is the volume of a rectangular prism with dimensions 0.5 m x 0.2 m x 0.15 m?

• 0.015 m³

• 0.03 m³

• 0.05 m³

• 0.045 m³

How do you find the volume of an art box not occupied by an eraser?

• Add the volume of the eraser to the box's volume

• Divide the box's volume by the eraser's volume

• Multiply the eraser's volume by the box's volume

• Subtract the eraser's volume from the box's volume

What is the volume of an art box with dimensions 12 cm x 20 cm x 5 cm?

• 600 cm³

• 2400 cm³

• 1200 cm³

• 120 cm³

If a fence is built with 48 m² of lumber and is 1.5 m tall, what is the length of one side of the square yard?

• 10 m

• 12 m

• 6 m

• 8 m

What is the formula for calculating the surface area of a square fence?

• 4 x (Length x Height)

• 2 x (Length + Width)

• Length x Width

• Length x Height

How do you determine the area inside a square yard if you know the length of one side?

• Add the length to the height

• Multiply the length by the height

• Square the length

• Multiply the length by 4

What is the area of a square yard with a side length of 8 meters?

• 80 m²

• 64 m²

• 48 m²

• 32 m²