Volume and Surface Area

Find the surface area of the square based pyramid.

Tags

CCSS.7.G.B.6

Find the volume of the square based pyramid.

Tags

CCSS.HSG.GMD.A.3

Tags

CCSS.HSG.GMD.A.3

Find the Surface Area of the given figure.

• 477.52m²

• 427.26m²

• 578.05m²

• 628.32m²

The perimeters of the bases of two similar solids are in the ratio 1:4. What is the ratio of their surface areas (small to large)?

• 1:8

• 1:16

• 1:32

• 1:4

The perimeters of the bases of two similar solids are in the ratio 1:4. What is the ratio of their volumes (small to large)?

• 1:64

• 1:4

• 1:16

• 1:32

• 27:1

• 9:1

• 81:1

• 3:1

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

The volume of two spheres are 81π & 3π. Determine the ratio of their surface areas (large to small).

• 9:1

• 81:1

• 27:1

• 16:1

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

A birthday cake will serve 15 people and requires 300mL of icing. If a baker decides to double each dimension of the cake and use the same thickness of icing as before, determine how many people the cake will serve if the pieces of the new cake have the same volume as the pieces of the original cake.

• 30 people

• 60 people

• 15 people

• 120 people

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

An architect's scale model of an office building is 50 cm tall. If the model is one-fortieth the actual size, find how many times larger the surface area of the actual building is compared to the scale model.

• 40 times

• 160 times

• 1600 times

• 64000 times

Tags

CCSS.7.G.B.6