Volume, and SA
What is the total surface area of a prism with a height of 2, a base of 42, and a perimeter of 80?
244 units2
here's why!
80(2)+2(42)=244 units2
What is 0.3x10-1 in scientific notation form?
0.03
After a scale factor of 4, the new perimeter is___ times the original.
Fill in the blank.
After a scale factor of 4, the new perimeter is 4 times the original.
A triangle has the side lengths of 7, 8, and 12? Is the triangle a right triangle?
No, because 72+82 does not equal 122.
Rose's grandpa gave him $4000 when he was born. Her parents decided to take the money and put it in a savings account for her and are going to take out the money and give it to her when she turns 18. The savings account pays 1.3% simple interest. How much will rose have in her savings account when she turns 18?
$4,936
What is the volume of a cylinder with a base of 50 and a height of 6?
300 units3
What is 0.73x10-2 in scientific notation form?
0.0073
After a scale factor of 3, the area is__ times the original.
Fill in the blank.
After a scale factor of 3, the area is 9 times the original.
What is the hypotenuse of a triangle that has legs that are 5 and 6?
Round to the nearest tenth if necessary.
7.8
Audrey is going to play in a volleyball tournament. Her parents take out a simple interest loan of $6600 to send to her. The loan is at a 16.7% interest rate and must be repaid in 19 years. How much will Audrey's parents pay in interest?
$20941 800
What is the volume of a cone with a height of 3 and a base of 40?
Round to the nearest tenth if necessary.
40 units3
What is 3.44x104 in scientific form?
34,400
A figure has a perimeter of 30. What will the new perimeter of the figure be after being dilated by 1/2?
45
Determine the missing hypotenuse of a triangle that has a leg that is 6 inches long, and another leg that is 12 inches long?
Round to the nearest tenth if necessary.
13.4
Kayden wants to buy a RV. He borrows $20,700 in a compound interest loan. The loan is for 7 years at 18.6% interest. How much will his RV cost him in the end?
Round to the nearest hundredth.
$68 322.41
What is the lateral surface area of a cylinder that has a height of 10 and a circumference of 40?
Round to the nearest tenth.
1256.6 units2
What is 80x103 in scientific notation?
80,000
A figure has an area of 68. What would be the area of the figure after a dilation of 3/5?
24.48
What is the missing side length of a triangle that has a hypotenuse of 7 and a leg that measures 4?
5.7
Isabel applies for a scholarship to Harvard and is awarded $80,000 for collage. Instead of spending it, she invests in it in a savings account that pay 5.6% compound interest over 6 years. How much money will she have in her account at the end of 6 years.
Round to the nearest hundredth.
$110936.25
What is the total surface area of a cylinder with a circumference of 30 and a height of 4?
Round to the nearest tenth.
1790.7 units2
What is 8.7x107 in scientific notation form?
87,000,000
A figure has an area of 200. What will be the new area after a dilation of 3/4?
112.5
Determine the missing side length of a triangle that has a leg that equals the square root of 64, and a hypotenuse that is 10 inches long.
Round to the nearest tenth when necessary.
6
Wayne is working at pizza hut and saves all the money he earns during the first year and ends up with $1600. He then puts the money in a stock for 7 years at the rate of 16.8% compound interest. Jacob is working at canes and saves all the money he earns during the first year and ends in with $1700. He then puts the money in a stock for 7 years at the rate of 16.8% simple interest. Will Wayne have more money overall at the end of the 7 years, or will Jacob?
Wayne will have more money overall at the end of the 7 years.