What is the Area of a Triangle Equilateral that's base is 3ft?

GEOMETRY TRIANGLES? LAST TEST UNTIL I GRADUATE PLEASE HELP!?

• Okay, I have one more test before I get my diploma! but I keep redoing this same test and no matter what i do (even if im confident in these answers) they arent right! I keep making a 55. EVEN IF ITS JUST A COUPLE OF QUESTIONS YOU CAN ANSWER THAT WOULD BE GREATLY APPRECIATED. Teacher wont help, but I dont have time not to be helped. I just need to get this one little test done! PLEASE HELP, thank you and god bless. 1. A storage barrel has the shape of a cylinder. The volume of the barrel is about 81.64 cubic feet and the radius is 2ft..Which of the following expressions could be used to find its height in feet? 2. A small section of a roof has the shape of a triangle. The total area of the section is 10.5 square feet. If the height of the section is 3.5 feet, what is the measure of the base in feet? 3. What is the approximate volume in cubic feet of a box with a length of 2½ ft, a width of 1 ft 6 in, and a height of 1 ft 9 in? 4. What is the area in square centimeters of a triangle that has 345 meters? 5. A cone has a height of 1 foot 4 inches and a base with an area of 18 square inches. What is the volume of the cone in cubic inches? 6. Joe travels from his house to school every day 15 miles. He picks up his friend Mark, who lives 5 miles on the other side of the school. How many miles total will he travel round trip ? 7. Jose is five years older than Maria, and Lupe is twice as older as both of them together his 39. So how old is Jose and Maria? 8. A triangle has an area of 85 and a base of 15, what’s its height? 9. One leg of a triangle is three times bigger than the other leg. The hypotenuse is 12 feet. How long is the shorter leg? 10. 22 and 34, hypotenuse= 11. 21 and 47, hypotenuse= 12. 47 and 71, third leg= 13. 104 and 118, hypotenuse= 14. 10 and 15,hypotenuse= 15. Hal has a board similar to this one. He needs to cut it into pieces, with each piece measuring ¾ foot. How many pieces can he cut from the board? The first rectangle is 12 feet.(THE ANSWER ISNT 16! thats what i thought..) 16. If you have a solid rectangular that has length of 10, a width of 5, and a height of 12.What would your surface area would be? 17. You have an ice cream cone that has a radius of 10inch, and height 12inch, what would the surface and the volume area be? volume= surface area= 18. If Angelo has 10 books, and each one has 225 to 235 pages. How many pages is the estimate of all of them together?

• Answer:

  1). A storage barrel has the shape of a cylinder. The volume of the barrel is about 81.64 cubic feet and the radius is 2 ft. Find its height in feet? pi r^2 h = 81.64 ft^3 h = 81.64/pi.2^2 = 20.41/3.1416 = 6.497 ft. 2). A small section of a roof has the shape of a triangle. The total area of the section is 10.5 square feet. If the height of the section is 3.5 feet, what is the measure of the base in feet? 1/2 base x 3.5 = 10.5 base = 21/3.5 = 6 feet 3). What is the approximate volume in cubic feet of a box with a length of 2½ ft, a width of 1 ft 6 in, and a height of 1 ft 9 in? Volume of the box = 6.5625 ft^3 4). What is the area in square centimeters of a triangle that has 345 meters? 345 meters^2 = 3,450,000 cm^2 5). A cone has a height of 1 foot 4 inches and a base with an area of 18 square inches. What is the volume of the cone in cubic inches? Volume of the cone = 8 cubic inches. 6). Joe travels from his house to school every day 15 miles. He picks up his friend Mark, who lives 5 miles on the other side of the school. How many miles total will he travel round trip ? From his house to school and back 30 miles, for picking up and dropping back his friend Mark another 20 miles. 7). Jose is five years older than Maria, and Lupe is twice as old as both of them together his 39. So how old is Jose and Maria? J = M + 5 L = 2(J + M) L = 2(M + 5 + M) = 4M +10 J + M + L = 39 (M + 5) + M + (4M +10) = 39 6M + 15 = 39 6M = 24 M=4 J = 9 L = 2(4 + 9) = 26 8). A triangle has an area of 85 and a base of 15, what’s its height? 1/2 base x height = 85 height = 170/15 = 11 1/3 9). One leg of a triangle is three times bigger than the other leg. The hypotenuse is 12 feet. How long is the shorter leg? x^2 + 9x^2 = 12^2 x^2 = 14.4; x = 3.79 The shorter leg is 3.79 feet long. 10). 22 and 34, hypotenuse = 40.4969 11). 21 and 47, hypotenuse = 51.478 12). 47 and 71, third leg = 53.2165 13). 104 and 118, hypotenuse = 157.2895 14). 10 and 15, hypotenuse = 18.0278 15). Hal has a board similar to this one. He needs to cut it into pieces, with each piece measuring ¾ foot. How many pieces can he cut from the board? The first rectangle is 12 feet. We need to know how big the original board was. 16). If you have a solid rectangular prism that has length of 10, a width of 5, and a height of 12. What would your surface area would be? Break the rectangular prism into the 2-D plane in order to see the parts. You have the bases that will both be 50 ft^2, the smaller sides will both be 60 ft^2 each, the larger sides will be 120 ft^2 each. You must add each of these together and multiply by 2 because there are two of each side. It comes out to be 460 ft^2 17). You have an ice cream cone that has a radius of 10 inch, and height 12 inch, what would the surface and the volume area be? volume = 1256.64 in^3. surface area = 804.8917254495875 square inches 18). If Angelo has 10 books, and each one has 225 to 235 pages. How many pages is the estimate of all of them together? Number of total pages is from 2250 to 2350.