Defining Volume
2D shapes
Volume of Rectangular Prisms
Triangles
Volume of Non-Overlapping Rectangular Prisms
100
True or False: Volume is the amount of space that an object takes up.
True.
100
True or False:
A quadrilateral with a 50 degree angle is sometimes a rectangle.
False. A quadrilateral with a 50 degree angle is NEVER a rectangle. All angles in a rectangle MUST be 90 degrees.
100
What is the volume of this prism?
V = L x W x H
V = 6 x 4 x 3
V = 24 x 3
V = 72 cubic units
OR
V = B x H
V = 24 x 3
V = 72 cubic units
100
Which triangles are Acute triangles?
Triangle A and triangle E are acute triangles because all of the angles measure LESS than 90 degrees.
100
Determine the combined volume of the non-overlapping rectangular prism.
You must break apart into TWO parts. This is one way to break them apart. Your total combined volume must be 22 cubic units to be correct.
Volume of Part A
V = L x W x H
V = 3 x 1 x 2
V = 6 cubic units (Total part A)
Volume of Part B
V = L x W x L
V = 8 x 1 x 2
V = 16 cubic units (Total Part B)
You must add part A and part B together.
6 cubic units + 16 cubic units = 22 cubic units
The combined total volume is 22 cubic units.
200
Volume is measured in
A. Lines
B. Guesses
C. Cubic units
C
200
Explain why a rhombus is ALWAYS a parallelogram.
A rhombus is ALWAYS a parallelogram because it has two sets of parallel lines.
200
I made a tower in the shape of a rectangular prism out of blocks. The length was 8 in, width was 2 in, and height was 4 in. What was the volume of the figure?
8x2x4 = 64 cubic inches
200
Which triangles are obtuse?
Triangle B and Triangle F are obtuse triangles because they have an angle that measures MORE than 90 degrees.
200
Find the combined total volume for the non-overlapping rectangular prism.
You must break apart into TWO parts. This is one way to break them apart. Your total combined volume must be 44 cubic units.
Volume of Part A
V = L x W x H
V = 4 x 2 x 2
V = 16 cubic units (total part A)
Volume of Part B
V = L x W x H
V = 7 x 2 x 2
V = 28 cubic units (total part B)
You must add part A and part B together to find the combined volume.
16 cubic units + 28 cubic units = 44 cubic units
The total combined volume is 44 cubic units.
300
The formula for volume of a rectangular prism is:
volume = length x width x height
OR
volume = base x height
300
Explain why a parallelogram is SOMETIMES a rhombus.
A parallelogram is only sometimes a rhombus because it might not have congruent sides, or sides in equal length. The attributes of a rhombus are 2 sets of parallel sides AND congruent sides, or sides of equal length.
300
What is the volume of this figure?
4 x 6 x 3 = 72 units3
300
Which triangles are right triangles?
Triangle C and triangle D are right triangles because they have a angle that is EXACTLY 90 degrees.
300
Determine the combined volume of the non-overlapping rectangular prism.
You must break apart into TWO parts. This is one way to break them apart. Your total combined volume must be ____ cubic units to be correct.
Volume of Part A
V = L x W x H
V = 13 x 6 x 7
V = 546 cubic units (Total part A)
Volume of Part B
V = L x W x L
V = 13 x 4 x 11
V = 572 cubic units (Total Part B)
You must add part A and part B together.
546 cubic units + 572 cubic units = 1,118 cubic units
The combined total volume is 1,118 cubic units.
400
Donte took an Amazon box and measured the length and width. He says he can figure out the volume of the box by multiplying the length and width. Is Donte correct or incorrect? Why or why not?
Donte is incorrect. When you multiply the length and width you find the AREA, not the volume. Donte needs to go back and measure the height of the box.
400
Why is a rectangle is SOMETIMES a rhombus.
A rectangle is sometimes a rhombus because it might have 2 sets of parallel lines with each side being equal in length.
400
A lunchbox is 6 inches by 5 inches by 3 inches. What is the volume of the box?
90 cubic inches
or
90 inches3
400
Which triangles are scalene?
Scalene triangle have 3 different angle measurements. Triangle D, Triangle E, and Triangle F are scalene triangles.
400
What is the combined volume of this non-overlapping rectangular prism?
Sample ways to solve. Final Answer MUST match your answer. (hint: You must break apart the boxes.)
Volume for box A
V= L x W x H
V = 12 yards x 5 yards x 4 yards
V = 240 yards3 (Part A)
Volume for box B
V= L x W x H
V = 4 yards x 5 yards x 12 yards
V = 240 yards3 (Part B)
To find the TOTAL volume you must add the volume of Box A and Box B.
240 yards3 + 240 yards3 = 480 yards3
500
True or False: Another formula for volume is Area of the base x height.
True
500
Define the attributes of a quadrilateral.
A quadrilateral must have 4 sides.
500
What is the volume of this prism?
12 x 6 = 72 units3
500
Which of the triangles are isosceles?
Isosceles triangle have TWO angles that are the same measurement. Triangle B and Triangle Care isosceles triangles.
500
What is the volume of this figure?
Volume Part A
V= 4 x 6 x 2
V = 48
Volume Part B
V= 4 x 3 x 2
V = 24
48 + 24 = 72 cm3