<< Chapter < Page | Chapter >> Page > |
How many cubic inches of candy will fit in a cone-shaped piñata that is $18$ inches long and $12$ inches across its base? Round the answer to the nearest hundredth.
678.24 cu. in.
What is the volume of a cone-shaped party hat that is $10$ inches tall and $7$ inches across at the base? Round the answer to the nearest hundredth.
128.2 cu. in.
The following charts summarize all of the formulas covered in this chapter.
Find Volume and Surface Area of Rectangular Solids
In the following exercises, find ⓐ the volume and ⓑ the surface area of the rectangular solid with the given dimensions.
length $2$ meters, width $1.5$ meters, height $3$ meters
length $5$ feet, width $8$ feet, height $2.5$ feet
length $3.5$ yards, width $2.1$ yards, height $2.4$ yards
length $8.8$ centimeters, width $6.5$ centimeters, height $4.2$ centimeters
In the following exercises, solve.
Moving van A rectangular moving van has length $16$ feet, width $8$ feet, and height $8$ feet. Find its ⓐ volume and ⓑ surface area.
Gift box A rectangular gift box has length $26$ inches, width $16$ inches, and height $4$ inches. Find its ⓐ volume and ⓑ surface area.
Carton A rectangular carton has length $21.3$ cm, width $24.2$ cm, and height $6.5$ cm. Find its ⓐ volume and ⓑ surface area.
Shipping container A rectangular shipping container has length $22.8$ feet, width $8.5$ feet, and height $8.2$ feet. Find its ⓐ volume and ⓑ surface area.
In the following exercises, find ⓐ the volume and ⓑ the surface area of the cube with the given side length.
$6$ inches
$12.5$ meters
In the following exercises, solve.
Science center Each side of the cube at the Discovery Science Center in Santa Ana is $64$ feet long. Find its ⓐ volume and ⓑ surface area.
Museum A cube-shaped museum has sides $45$ meters long. Find its ⓐ volume and ⓑ surface area.
Base of statue The base of a statue is a cube with sides $2.8$ meters long. Find its ⓐ volume and ⓑ surface area.
Tissue box A box of tissues is a cube with sides 4.5 inches long. Find its ⓐ volume and ⓑ surface area.
Find the Volume and Surface Area of Spheres In the following exercises, find ⓐ the volume and ⓑ the surface area of the sphere with the given radius. Round answers to the nearest hundredth.
$9$ inches
$2.1$ yards
In the following exercises, solve. Round answers to the nearest hundredth.
Exercise ball An exercise ball has a radius of $15$ inches. Find its ⓐ volume and ⓑ surface area.
Balloon ride The Great Park Balloon is a big orange sphere with a radius of $36$ feet . Find its ⓐ volume and ⓑ surface area.
Notification Switch
Would you like to follow the 'Prealgebra' conversation and receive update notifications?