Leaders
Forum
Login
Lessons
Triangles, polygons, and circles are all considered two‐dimensional objects and you’ve learned how to find the perimeter and area of these objects. You will also need to know how to analyze the measurements of their three‐dimensional counterparts, or solid geometry. For solid geometry, you will need to know the volume and the surface area of a three‐dimensional object. The surface area of a solid figure is like the perimeter of a two‐dimensional object. The volume of a solid figure is like the area of a two‐dimensional object. Cube Surface Area and Volume Rectangular Solid Surface Area and Volume Cylinder Surface Area and Volume Cone Surface Area and Volume Sphere Surface Area and Volume Solid Geometry Practice Problems Find the surface area of a cone with radius 3 and length of slant 7? Find the volume of a cube with side length of 2. What is the volume of a cylinder with radius 4 and height 4? What is the radius of a sphere with a surface area of 36π? A triangular prism has triangular bases with base lengths of 4 cm and heights of 3cm. The height of the triangular prism is 8 cm. What is the volume of the triangular prism? A cone has a radius of 3 and a height of 7. What is the volume of the cone? The radius of a cylinder is 3 and its surface area is 54π. What is the height of the cylinder? A sphere has 64/9 π units cubed of water inside of it, but it is only 2/3 filled. What is the radius of the sphere? A rectangular shoe box has a base with length 7 and width 4. If the height of the box is 3, and the box is missing its lid (top base), what is the surface area of the box? What is the maximum number of marbles of diameter 2cm that can fit inside a rectangular box with inner dimensions of 9cm x 4cm x 3cm? 12 25 30 81 Answers to the Practice Problems 30π 8 cm cubed 64π 3 48 cm cubed 21π 6 2 94 cm2 B
Show
Edit
Destroy
New Lesson
×
×
Close
Piqosity offers personalized practice for the ACT, P/SAT, and Upper Level ISEE.
Create a free account below to start practicing nearly 7,000 adaptive questions.
Grade Level
5th or Below
6th
7th
8th
9th
10th
11th
12th
College or Above
I want to Learn
I want to Teach / Contribute
ACT
ISEE, Upper Level
SAT
By clicking “Start Practicing,” you agree to our
Terms
and that you have read our
Privacy Policy
.