问答题
Perimeter, Area, and Volume
These questions will test your knowledge of operations involving perimeter, area, and volume.
Answer the following questions.
These questions will test your knowledge of operations involving perimeter, area, and volume.
Answer the following questions.
问答题
| You are applying fertilizer to your backyard. The rectangular yard measures 40 feet wide and 70 feet long. You use 6 pounds of fertilizer to treat 700 square feet. The fertilizer comes in 8-pound bags. How many bags of fertilizer will you need to complete the job? |
【正确答案】
【答案解析】The question asks you to determine the number of bags of fertilizer that will cover your rectangular backyard. According to information in the problem, 6 pounds of fertilizer can cover 700 square feet. Calculate the area of the backyard. The area of a rectangle is determined by multiplying the length (70 feet) by the width (40 feet):
70×40=2,800
The area of the backyard is 2,800 square feet. The problem states that 6 pounds of fertilizer can cover 700 square feet. Calculate the number of times that 700 will go into 2,800:
2,800÷700=4
You will need 4 times 6 pounds of fertilizer to treat 2,800 square feet:
4×6=24
Since you will need a total of 24 pounds of fertilizer to treat the backyard, and each bag of fertilizer weighs 8 pounds, divide 24 by 8 to find the number of bags of fertilizer you will need:
24÷8=3
You will need 3 bags of fertilizer to treat a backyard that measures 2,800 square feet.
问答题
| John is building a circular fence around his circular pool. The pool is 26 feet in diameter. If John wants to have 2 feet of space between the edge of the pool and the fence, what is the area that will be encompassed by the fence? (π=3.14) |
【正确答案】
【答案解析】If the pool has a diameter of 26 feet, and the fence needs to be 2 feet away
from the edge of the pool, the diameter of the area enclosed by the fence would
be 26+2+2=30 feet. Draw a picture to help visualize the problem:
问答题
| Tiffany inflates a beach ball. If the diameter of the ball is 0.6 m, what is its volume? |
【正确答案】
【答案解析】A beach ball is a sphere, and the equation for the volume of a sphere is . The diameter is
given as 0.6 m, so the radius is half of that, 0.3 m. Substitute that value into
the equation and solve:
Volume=0.036π m3 or approximately 0.113 ma
Volume=0.036π m3 or approximately 0.113 ma
问答题
A cylindrical can of pineapple juice contains 350
cm3 of liquid. If the can is  cm tall, what is its
diameter? |
【正确答案】
【答案解析】The equation for the volume of a cylinder is πr2h. The question is
asking for diameter, so first solve for r, then double it.
Since the radius is 5 cm, the diameter is 10 cm.
Since the radius is 5 cm, the diameter is 10 cm.
问答题
| If a square prism has an edge of 5 inches, what is the volume of the square? |
【正确答案】
【答案解析】The equation for the volume of a square prism is s3. Since you are
given a side (s) of 5, simply substitute 5 for s. The answer is 125
in3. and you might be able to quickly eliminate some incorrect answer
choices. You should also remember that there are 360 degrees in a circle,
because a question might ask you to calculate the value of x as the number of
degrees it represents on the graph.
SOURCES OF SCHOOL FUNDING, 1997
SOURCES OF SCHOOL FUNDING, 1997