For this item, draw a cone with a height of 12 cm and a radius of 5 cm. Find the volume.

For this item, draw a cube with side lengths of 4 inches. Find the volume.

Finally, Shayla considers the posts in front of the drawbridge.

a. Draw and label a sketch of one of the posts in front of the drawbridge if the diameter of the base of the cylinder is 12 inches and the height of the cylinder is 15 inches. The sphere on top of each post has the same radius as the cylinder.

b. Use the volume formulas for a sphere and cylinder to find how many cubic inches of sand are needed to build the two posts in front of the drawbridge. How many cubic feet are needed?

Use the volume formula for a sphere to find how many cubic inches of sand are needed to build the three congruent decorative hemispheres on top of the wall if the radius of each hemisphere is 2 inches.

For this item, draw a square pyramid with a height of 8 centimeters and base side lengths of 6 centimeters. Find the volume.

Now Shayla works on the turrets.

a. Draw and label a sketch of one of the cones used to create the turrets if the diameter of the base of each cone is 10 inches and the height of each cone is 16 inches.

b. Attend to precision. Use the volume formula for a cone to find how many cubic inches of sand are needed to build the two congruent conical turrets. How many cubic feet are needed?

Solve for the following items:

a. Find the lateral area of one of the cylindrical legs using the dimensions from the previous item.

b. Find the lateral area of each of the right triangular prisms that are used for arms using the dimensions from the previous item.

c. The air dancer will be placed on a box that is a rectangular prism. The dimensions of the box are 12 feet long by 6 feet wide by 4 feet high. What is the total surface area of the box?

Next, Shayla plans the guardhouses in front of the moat.

a. Draw and label a sketch of one of the pyramids used for the guardhouses at the entrance to the drawbridge given that each pyramid has a height of 9 inches and given that the base of each pyramid is a square with side lengths of 6 inches.

b. Use the volume formula for a pyramid to find the number of cubic inches of sand needed to build both guardhouse.

For this item, find the volume of a square pyramid with a base edge length of 12 centimeters and a height of 20 centimeters.

The students must consider fans to keep a certain amount of air moving in the dancer. In order to determine the amount of air needed to inflate the air dancer, the students must calculate the volume.

What is the total volume of the air dancer?

The students must consider fans to keep a certain amount of air moving in the dancer. In order to determine the amount of air needed to inflate the air dancer, the students must calculate the volume.

Find the volume of the cone-shaped hat if it has a radius of 3 feet and a height of 4 feet.

The students must consider fans to keep a certain amount of air moving in the dancer. In order to determine the amount of air needed to inflate the air dancer, the students must calculate the volume.

Find the volume of the spherical head if it has a radius of 3 feet.

The students must consider fans to keep a certain amount of air moving in the dancer. In order to determine the amount of air needed to inflate the air dancer, the students must calculate the volume.

Find the volume of the cylindrical neck if it is 2 feet tall and has a diameter of 1.5 feet.

The students must consider fans to keep a certain amount of air moving in the dancer. In order to determine the amount of air needed to inflate the air dancer, the students must calculate the volume.

Find the volume of the rectangular prism to be used for the body. The dimensions are 6 feet long, 4 feet wide, and 8 feet high.