MATH-7
BEM-Math 6/7 HW Page 39
Exam not valid for Paper Pencil Test Sessions
[Exam ID:V4BLES
1
Which statement is NOT true?
A Doubling the length of a prism will double its volume.
B Doubling the length of a prism will double its surface area.
C There is a direct relationship between a change in the length and a change in the volume.
D Multiplying the length of a prism by a scale factor of 4 will multiply the volume of 4.
2
If the height of the rectangular prism is multiplied by a scale factor of 4, which of the following is true? A
B
C
D
3
The surface area is increased by 108 square feet.
The surface area is increased by 4 square feet.
The surface area is 8 times as large.
The surface area is 4 times as large.
If the height of a rectangular prism is multiplied by a scale factor of 3, which of the following represents the surface area of the new rectangular prism?
A SA = 2lw + 3lh + 3wh
B SA = 3lw + 3lh + 3wh
C SA = 6lw + 6lh + 6wh
D SA = 2lw + 6lh + 6wh
4
If the width of the rectangular prism is doubled, which of the following is true? A
B
C
D
5
The volume is twice as large.
The volume is half as large.
The volume increases by 28.
The volume is eight times as large.
Ian has an old rectangular mailbox as shown. The postmaster left him a note stating that the new regulations. New Regulations • Minimum surface area of 2,600 square inches • Maximum surface area of 3,000 square inches In order to meet the requirements, Ian should buy a mailbox that is —
A two times as tall as the old mailbox
B three times as long as the old mailbox
C two times as wide as the old mailbox
D three times as tall as the old mailbox
6
Ted is sending his sister her birthday presents through the mail. The volume of presents that are size A are 528 cubic inches. A present of the size B is the same length and height as size A, but the width is 3 times larger. If the packing box can hold two presents of size B and 3 presents of size A, what is the minimum volume of the packing box? A
B
C
D
7
2,112 cu in.
5,808 cu in.
1,584 cu in.
4,752 cu in.
A company has produced a cereal box with the following dimensions and needs to reduce the surface area due to cost of production. • width = 2.4 inches • length = 7.8 inches • height = 11.6 inches Which situation will create the least surface area? 1 2 1 B Multiply the width by a scale factor of 3 1 C Multiply the height by a scale factor of 2 1 D Multiply the length by a scale factor of 3 A Multiply the length by a scale factor of 8
A company has produced a cereal box with the following dimensions. • width = 2.4 inches • length = 7.8 inches • height = 11.6 inches The surface area of the cereal box needs to be reduced, but must be more than 220 square inches. Which situation will create an appropriate surface area? 1 3 1 B Multiply the height by a scale factor of 2 1 C Multiply the length by a scale factor of 3 1 D Multiply the width by a scale factor of 2 A Multiply the width by a scale factor of 9
Directions: Click on a box to choose each answer you want to select. You must select all correct answers.
Identify each pair of rectangular prisms that are described by the following situation. • The height measurement of Prism B is 4 times the height measurement of Prism A • The width and length measurements are the same for Prism A and Prism B
Volume of Prism A is 72 cubic feet Volume of Prism B is 288 cubic feet Volume of Prism A is 84 cubic feet Volume of Prism B is 1,344 cubic feet Volume of Prism A is 180 cubic feet Volume of Prism B is 980 cubic feet Volume of Prism A is 784 cubic feet Volume of Prism B is 3,136 cubic feet Volume of Prism A is 40 cubic feet Volume of Prism B is 160 cubic feet Volume of Prism A is 90 cubic feet Volume of Prism B is 1,440 cubic feet 10 The dimensions of a rectangular prism are shown below. A new prism is created by changing only one of the dimensions. The volume of the new prism is the volume of the original prism. Which of these figures could represent the dimensions of the new prism?