ILC Surface Area and Exponents

Look at each net .   Which polyhedron would these make if they were folded and assembled? 

• A. Triangular Prism

  B. Cube

  C. Ttriangular Pyramid

• A. Square Prism

  B. Cube

  C. Triangular Prism

• A. Square Pyramid

  B. Cube

  C. Triangular Prism

• A. Triangular Pyramid

  B. Cube

  C. Triangular Prism

​ Which is larger  8⋅3³  or  5⁴ and why?

• 8⋅3³ because it

  equals 264

• 8⋅3³ because it

  equals 216

• 5⁴ because it

  equals 2000

• 5⁴ because it

  equals 625

Polyhedron P is a cube with a corner removed and relocated to the top of P

Polyhedron Q is a cube with the same size base as Polyhedron P.  How do their surfaces compare?

• Their Surface Areas are the same.

• Q's Surface Area is Greater than P's Surface Area.

• P's Surface Area is Less than Q's Surface Area.

• Q's Surface Area is Less than P's Surface Area.

A CUBE has a side length of 7 cm.

Select all the values that represent the cube's volume in cubic inches.

Think:  V = L ⋅W⋅ H

• A, C, D, F

• C, E, F

• E, F

• C, E

A rectangular prism has dimensions of 4 units by 3 units by 2 units. 

A.  What is its volume? [V]  

V = L ⋅W ⋅H

Type NUMBER ONLY

A rectangular prism has dimensions of 4 units by 3 units by 2 units. 

What is its SURFACE AREA?    

Find the AREA of ALL surfaces.  Draw a picture:

A square has a side length of 16 cm.  What is its area? 

 

Hint:   Write the Area formula for a square.  Write 16 where it belongs.  Solve.

• 4cm

• 4cm²

• 256 cm

• 256 cm²

A square has an area of 16 cm².  What is its side length? [side]

Hint:   Write your formula.  Plug 16 in for the Area. 

• 4 cm

• 256 cm

• 4 cm²

• 256 cm²

Find the Surface Area of this net.  All measurements are given in centimeters.

Type NUMBER ONLY

The formula for finding Area of a Triangle is:

A = b ⋅ h ÷ 2

 

****Why do you divide by 2?

• You should never divide by 2.  You just find b ⋅ h and you have the area of a triangle.

• You divide by 2 because a triangle is twice as big as a rectangle or parallelogram.

• You divide by 2 because a triangle is 1/2 the size of a rectangle or parallelogram.

• There isn't enough information to answer this question.