Rectangular Prisms and Cylinders

Imagine you're packing books into a box. What is the formula to calculate how much space the books will take up in the box?

• length x width x height

• length + width + height

• length x width + height

• 2 x (length + width + height)

Imagine you're packing a rectangular box for shipping, which has dimensions: length = 5 cm, width = 3 cm, height = 4 cm. Calculate the volume of the box.

• 60 cubic cm

• 10 cubic cm

• 20 cubic cm

• 15 cubic cm

Imagine you are tasked with painting the exterior surface of a cylindrical water tank. What is the formula to calculate the total surface area you need to cover with paint?

• 2πrh

• πr^2h

• 2πr^2

• 2πr(r+h)

A cylindrical water tank has a radius of 2 cm and a height of 6 cm. Determine the surface area of this water tank.

• 12π cm^2

• 32π cm^2

• 24π cm^2

• 18π cm^2

Imagine you're wrapping a gift in the shape of a rectangular prism for a friend's birthday. How do you calculate the amount of wrapping paper needed to cover the entire surface of the gift?

• 2l + 2w + 2h

• 2lw + 2lh + wh

• 2lw + 2lh + 2wh

• lwh

Imagine you're wrapping a gift in the shape of a rectangular prism with length = 8 cm, width = 4 cm, height = 3 cm. How much wrapping paper do you need to cover it completely?

• 136 cm^2

• 56 cm^2

• 24 cm^2

• 96 cm^2

A cylindrical water tank needs to be filled. What is the formula to calculate its volume?

• V = 2πr^2h

• V = 2πrh

• V = πr^2h

• V = πrh

A cylindrical water tank has a radius of 3 cm and a height of 10 cm. What is the volume of the water tank?

• 45π cm^3

• 30π cm^3

• 90π cm^3

• 270π cm^3

Imagine you have a swimming pool in the shape of a rectangular prism and a cylindrical water tank, both with the same base area and height. How do their volumes compare?

• The cylindrical water tank holds more water.

• They hold different amounts of water.

• They hold the same amount of water.

• The swimming pool holds more water.

Imagine you're tasked with determining the amount of water needed to fill a cylindrical tank for a community garden, using the formula V = πr^2h.

• V = πrh

• V = πr^3

• V = πr^2h

• V = 2πr^2h