Surface Area and Volume of 3D Objects

Four identical triangular prisms are arranged together to form one large, triangular prism, as shown below. The five exterior surfaces of the large prism are then painted.

To the nearest square centimetre, what is the total area of the painted surfaces?

• 1939 cm^2

• 1. 2016 cm^2

• 1. 2 659 cm^2

• 1. 2 736 cm^2

Tags

CCSS.7.G.B.6

What is the total surface area of the 3-D object shown above?

• 120 cm^2

• 100 cm^2

• 88 cm^2

• 72 cm^2

Tags

CCSS.5.MD.C.5A

CCSS.6.G.A.2

Find the volume of the roll of duct tape. Hint: two cylinders.

• 7.2

• 9.5

• 15.3

• 21.6

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

A child's building block is constructed from two triangular prisms and one rectangular prism. Calculate the total surface area of the toy.

To determine the area of overlap between these two prisms, which two values would you multiply together?

• 6 cm x 4 cm

• 7 cm x 4 cm

• 4 cm x 12 cm

• 12 cm x 6 cm

Tags

CCSS.7.G.B.6

Which of the following 3-D objects did Tricia build?

• 
• 
• 
• 

Tags

CCSS.6.G.A.4

Find the volume of the cone. Round your answers to the nearest tenth. Use 3.14 for π.

• 113.0 in³

• 37.7 in³

• 339.1 in³

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

Find the lateral surface area. Use pi for pi. The diameter is 18. Round to the nearest tenths.

• 7121.5

• 1780.4

• 395.6

• 197.9

Find the volume of the figure. Round to the nearest tenth.

• 128.6 units³

• 1,286.8 units³

• 401.9 units³

• 5,144.6 units³

Tags

8.7.A

The cone has a height equal to the cube's ​ (a)   . The volume of the cone is ​ (b)   the volume of the cube. The volume of a cone is ​ (c)   .

• height

• less than

• 1/3Bh

• more than

• Bh

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9