Need help very fast please!

Question

1.) A regular hexagonal prism has an edge length 12 cm, and height 10 cm. Identify the volume of the prism to the nearest tenth.

A.) V = 1870.6 cm³

B.) V = 2776.2 cm³

C.) V = 3741.2 cm³

D.) V = 7482.5 cm³

2.) Identify the volume of a cone with a base area 25π m² and a height equal to three times the radius.

A.) V = 392.7 m³

B.) V = 6135.9 m³

C.) V = 209.4 m³

D.) V = 2536.2 m³

3.) A pyramid arena in Galveston, TX is a rectangular pyramid with a base area of 70,840 ft² and a height of 12 stories. Each story is approximately 10 feet. Estimate the volume in cubic feet.

A.) 283,360 ft³

B.) 850,080 ft³

C.) 8,500,800 ft³

D.) 2,833,600 ft³

Need help very quickly!

Answer 1

I will not do this for you, but I will give you some help.

a) the hexagon prism has a regular hexagon as a base, which means there are 6 identical equilateral triangles in the base. SInce the edge is of the triangle is 12, the altitude (of a 30-60 right triangle) is 6√3. You should be able now to get the area of the base and then multiply it by the height.

b) the volume of a cone is (1/3)πr²h where r is is the radius of the base and h the height.

c) the volume of this solid is (1/3) area of base times height.