Area
Prisms
Challenge
Polly is Gone
100

Seva's playground for his hamsters is 20 and 1/2 feet long by 15 and 1/4 wide. What is the total area in square feet of Seva's playground?

312 and 5/8 square feet

100

The lengths of in centimeters of Ellie's right rectangular prism are 10, 8, and 15. What is the volume of Ellie's right rectangular prism in cubic centimeters?

1200 cubic centimeters

100

What is another name for a square? 

Rhombus has 4 sides that are equal in length and and 2 sets of parallel sides

Parallelogram has 4 sides and two sets of parallel sides

Trapezoid has 4 sides and at least 1 set of parallel sides.


200

Divide this rectangle to show your work (area model)

What is the area of this rectangle in square inches?

Teacher draws a 5 and 1/4 inch by 3 and 1/3 inch rectangle. 

17 and 1/2 inch

200

Gwyn is making a gift box to put her friend's present in. The gift box is a right rectangular prism. 

The base of the gift box has an area of 55 square inches.

The height of the gift box is 5 inches.

What is the volume of Gwyn's gift box?

275 cubic inches

200

Parker has two right rectangular prisms. 

Prism A is 3 by 2 by 5 centimeters.

Prism B is 4 by 3 by 2 centimeters.

Parker decides to put his two towers together to make a villian headquarters for mini Jocelynn. What is the combined volume of Prism A and Prism B?

Prism A= 30 cubic cm

Prism B= 24 cubic cm

Combined Volume = 54 cubic cm

200

True or false

A rectangle, square, and rhombus are always parallelograms.

TRUE

300

Cole's dog house for Snoop has a length of 8 feet, a width of 7 feet, and a height of 5 feet. What is the area of the dog house?

56 square feet

300

Andrii is building a tower with centimeter cubes that is a right rectangular prism. The bottom layer is shown (Teacher draws base) 

Andrii's tower has 6 layers.

What is the volume of Andrii's tower in cubic centimeters?

90 cubic cm

300

Will and Caden decide to combine their two right rectangular prisms to create a new figure. 

(teacher draws figure)

 What is the volume in cubic feet of the new figure in cubic ft? 

17 cubic feet

300

True or False 

A trapezoid will always have two obtuse angles.

FALSE

400

The layers of Lainee's right rectangular prism are shown. 


What is the volume if each unit is 1 cubic cm?

36 cubic cm

400

A right rectangular prism has a 

length of 3 cm 

width of 2 cm

height of 4 cm 

If the length, width, and height all tripled would the new volume be: 

a) twice as much 

b) 15 times as much 

c) 30 times as much 

d) 54 times as much 

Old volume: 

3x2x4= 24 cubic cm

New volume:

9x6x12= 648 cubic cm

648 / 24 = 54 times as much

500

Mini Santa is loading his sleigh full of presents. 

Each present has length of 4 cm, a width of 3 cm, and a height of 5 cm. 

The sleigh on which the presents are loaded in has a length of 8 cm, a width of 3 cm, and a height of 10 cm.

What is the volume of each present? How many presents can fit on the sled?

Each present: 60 cubic cm


The sleigh: 240 cubic cm

240/ 60 = 4 presents in the sleigh

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