Quiz: 3D Figures

Drag and drop the definitions for each variable present in the common formulas for 3D figures:

p: ​ (a)  

B: ​ (b)  

l = ​ (c)  

h = ​ (d)  

LA = ​ (e)  

• perimeter of the base
• area of the base
• slant height
• height
• lateral area
• surface area
• area of the face
• perimeter of the face
• radius
• length

Tags

CCSS.7.G.B.6

Select all 3D figures that have a cross section of a triangle.

• rectangular pyramid

• triangular prism

• cone

• rectangular prism

• cylinder

Fill in the blanks to substitute in the surface area of this shape:

SA = hp + 2B

SA = ​ (a)   *​ (b)   +2*​ (c)  

• 15
• 4+5+5
• (1/2)(4)(3)
• 3
• 4
• 3+4+5
• (1/2)(4)(5)
• 15+4
• 3+5+5

Tags

CCSS.7.G.B.6

What steps should you take to find the volume of this figure?

First, find the volume of the rectangular prism. V = ​ (a)  

Next, find the volume of the ​ (b)   . V = ​ (c)  

Last, ​ (d)   the volumes together.

• 9*6*7
• triangular prism
• (1/2)(4)(6)(9)
• (1/2)(4)(5)(5)
• (1/2)(4)(5)(6)
• 11*6*7
• rectangular pyramid
• add
• multiply

How do you find the surface area of this figure?

• Find the surface area of each figure and add it together

• Find the surface area of each figure, add it together, then subtract the area of the overlapping shape

• Find the volume of each figure and add it together

• Find the lateral area of the cylinder and add it to the surface area of the rectangular prism

• Find the lateral area of both figures and add it together

Are the solids similar?

​ (a)   because ​ (b)  

• Yes
• No

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

The ratio of the volumes of similar solids is 125:216.

How do you find the ratio of the surface areas?

• take the square root of each number

• take the cube root of each numer

• take the cube root of each number then square them

• take the square root of each number then cube them

• square each number

To solve the problem, first you take the ratio ​ (a)   (because ​ (b)   )

and set it equal to ​ (c)   .

Then, ​ (d)  

• 9/49
• 3/7
• 27/343
• x/108
• cross multiply.
• divide both sides.
• 108/x
• surface area ratio is regular ratio squared
• regular ratio is given to us
• surface area ratio is regular ratio cubed

If the radius is tripled, then what happens to its volume?

The new volume will be ____ times the old volume.

Mathematical Equivalence

ON

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Match the following formulas with their figures.

• cylinder

• cone

• rectangular pyramid

• triangular prism

• sphere