SAT Math Level 2 - SOLID GEOMETRY

Question 1

Volume of sphere

Answer 1

4/3 x Pi x radius cubed

Question 2

Volume of Cone

Answer 2

1/3 x Pi x radius squared x h

Question 3

Volume of Pyramid

Answer 3

1/3 x base area x height

Question 4

Volume of Prism

Answer 4

base area x height

Question 5

Surface area of sphere

Answer 5

4 x Pi x radius squared

Question 6

Surface area of cone (not including base)

Answer 6

Pi x radius x slant length

Question 7

Surface area of cylinder

Answer 7

2 x Pi x radius(radius + height)

Question 8

“Inscribe” a shape

Answer 8

Put one shape inside another so that all the vertices are on the faces of the second shape
- The shape around the outside is “circumscribed” around the inside shape

Question 9

Solids of revolution

Answer 9

If you take a curve in the plane and rotate it 360 degrees about a line, often the x or y axis, you will get a solid 3D shape called a solid of revolution

Question 10

Similar shapes

Answer 10

If the lengths of figures A and B are in the ratio a:b,
Then their surface areas are in the ratio a^2:b^2
and their volumes are in the ratio a^3:b^3