Surface Area Rectangular/Triangular prisms and Cylinders

Front

What is the formula for the total surface area of a cylinder?

Back

Total Surface Area = 2πr(h + r), where r is the radius and h is the height.

Front

What is the formula for the total surface area of a rectangular prism?

Back

Total Surface Area = 2(lw + lh + wh), where l is length, w is width, and h is height.

Tags

CCSS.7.G.B.6

Front

What is the formula for the total surface area of a triangular prism?

Back

Total Surface Area = bh + l1h + l2h + l3h, where b is the base, h is the height of the triangle, and l1, l2, l3 are the lengths of the triangular sides.

Tags

CCSS.7.G.B.6

Front

What is the formula for the volume of a cylinder?

Back

Volume = πr²h, where r is the radius and h is the height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the formula for the volume of a rectangular prism?

Back

Volume = lwh, where l is length, w is width, and h is height.

Tags

CCSS.7.G.B.6

Front

What is the formula for the volume of a triangular prism?

Back

Volume = (1/2 * base * height of triangle) * height of prism.

Tags

CCSS.7.G.B.6

Front

What is the difference between surface area and volume?

Back

Surface area measures the total area of the surface of a 3D object, while volume measures the amount of space inside the object.

Front

How do you find the radius of a cylinder if you know the total surface area?

Back

Rearrange the total surface area formula: r = sqrt((A/2π) - h), where A is the total surface area and h is the height.

Front

What units are used for surface area?

Back

Surface area is measured in square units, such as cm², m², in², etc.

Front

What units are used for volume?

Back

Volume is measured in cubic units, such as cm³, m³, in³, etc.

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4