Surface area and volume, similar solids

864 units²

The length of one side of a square based pyramid is 18m. If the height of the pyramid is 12m, what is the surface area of the pyramid?

5760 units²

The length of one side of a square based pyramid is 40m. If the height of the pyramid is 48m, what is the surface area of the pyramid?

8:5

The ratio of the base areas of two similar solids is 64:25. Ratio of the perimeters of their bases?

512:125

The ratio of the base areas of two similar solids is 64:25. Ratio of their volumes?

5:9

The ratio of the circumference of the bases of 2 similar cylinders is 5:9. Ratio of their heights?

729:343

The ratio of the surface areas of two similar prisms is 81:49. Ratio of their volumes?

9:7

The ratio of the surface areas of two similar prisms is 81:49. What is the ratio of their heights?

1000:343

The ratio of the surface areas of two similar solids is 100:49. What is the ratio of volumes?

3:1

The ratio of the volumes of two similar cones is 27:1. What is the ratio of their radii?

9:1

The ratio of the volumes of two similar cones is 27:1. What is the ratio of their surface areas?

7:10

The volume of one triangular prism is 6174 cubic kilometers, and the volume of a similar triangular prism is 18000 cubic kilometers. Find the scale factor of the smaller figure to the bigger one.

75.40 units²

What is the surface area of a cone with radius 3m and height 4m?

452.39 units²

What is the surface area of a cone with radius 8m and slant height 10m?

5881.1

What is the volume of a cone with a radius of 12 inches and a height of 39 inches?

769.7

What is the volume of a cylinder with a height of 20 yards and a diameter of 7 yards?

14.1

What is the volume of the baseball when the diameter is approximately 3 inches.

461.8

What is the volume of the cone?

263.9

A pile of sand is shaped like a cone. If the height is 7 meters and the radius is 6 meters, how many cubic meters of sand are in the pile?

50 units

A square has an area of 2,500 feet. What is the length of each side?

2,072 units²

Elizabeth wants to wrap the box below with shipping paper. About how much shipping paper will Elizabeth need to cover the entire box?

1,444.4 units squared

Find the Surface Area

113.04 units squared

Find the Surface Area

10.56

Find the Volume.

14.7

Find the Volume.

144

Find the Volume.

288

Find the Volume.

350

Find the Volume.

36

Find the Volume.

4.29

Find the Volume.

51.2

Find the Volume.

64 feet squared

Find the area of a square that is 8 inches on each side

40 feet squared

Find the area of a triangle that has a base of 8 feet and a height of 10 feet

26 units

Find the slant height of a square pyramid where the side length of the base is 20, and the height is 24.

4973.76 units squared

Find the surface area of a cylinder with a diameter of 36 and a height of 26.

7944.2 units squared

Find the surface area of a cylinder with a radius of 23 and a height of 32.

452.4 square units

Find the surface area of a sphere with diameter 12 units

314.2 square units

Find the surface area of a sphere with radius 5 units

100 units squared

Find the surface area of this rectangular prism.

144 units squared

Find the surface area of this rectangular prism.

220 units squared

Find the surface area of this rectangular prism.

96 units squared

Find the surface area of this triangular prism.

452.4

Find the volume of half of a sphere.

314.2

Find the volume of the cone.

16,964.60

Find the volume of the cylinder.

169.6

Find the volume of the dad's mug.

904.8

Find the volume of the sphere.

6.3

Find the volume of the waffle cone.

3,015.9

Find the volume.

1

How many bases are in a pyramid?

10:7

If the ratio of the surface areas of two similar solids is 100:49, what is the scale factor?

504 km^2

If the scale factor of two similar figures is 1:2 and the smaller figure has a surface area of 126 km^2, what is the surface area of the larger figure?

4104 km^3

If the scale factor of two similar figures is 1:2 and the smaller figure has a volume of 513 km^3, what is the volume of the larger figure?

425 km^2

If the scale factor of two similar figures is 3:5 and the smaller figure has a surface area of 153 km^2, what is the surface area of the larger figure?

2625 km^3

If the scale factor of two similar figures is 3:5 and the smaller figure has a volume of 567 km^3, what is the surface area of the larger figure?

Total Surface Area

Kenji is wrapping a birthday gift in the shape of a rectangular prism for his mother. Does Kenji need to find the Volume or the Total surface area?

16:9

Ratio of the volumes of two similar solids is 64:27. What is the ratio of the base areas?

12,120.9

The diameter of a basketball is 28.5 inches. Find the volume of the basketball.