# math

Adam has built a garden shed in the shape described.
a square based pyramid with the height of 3.5m on top of a cube with base 4m by 4m and height 2m.
calculate the volume of the shed, to the nearest cubic metre.
thanks.

1. 👍
2. 👎
3. 👁
1. volume of cube base = 4x4x2 = ..
volume of pyramid = (4/3)(4x4)(3.5) = ...

total = .....

1. 👍
2. 👎
2. thanks, but i don't think that is the answer because in the options ,the answer to that calculation is not there.

1. 👍
2. 👎
3. So sorry, that was a typo, the volume of pyramid
= (1/3)base area x height

so volume of pyramid = (1/3)(4x4)(3.5)

1. 👍
2. 👎
4. 47cm

1. 👍
2. 👎
5. 47

1. 👍
2. 👎
6. I hate math and this question is cause I can’t do it

1. 👍
2. 👎
7. If anyone needs help with this, the height is not 3.5m, that is the slant height. So you would need to use Pythagorean theorem to solve for the height.
h^2=s^2-r^2
h^2=3.5^2-2^2
h^2=12.25-4
h^2=8.25
h=√8.25
h=2.87228 m squared.

Then use this height to solve for the pyramid. The volume of the pyramid is 15.31883. Add this to the rectangular prism which has a volume of 32.

V=32+15.31883
V=47 m cubed

Hope it helps

1. 👍
2. 👎
8. bleh

1. 👍
2. 👎

## Similar Questions

1. ### algebra 1

A community group is planning on the expansion of a square flower garden in a city park. If each side of the original garden is increased by 3 meters, the new total area of the garden will be 225 square meters. Find the length of

2. ### Math ASAP

Starting at the top, if you cut a square pyramid in half using a single cut, what is the shape of the newly-exposed section? A.) square B.) rectangle C.) triangle D.) pentagon

3. ### Math

which shape has 5 faces 5 vertices and 8 edges? triangular Pyramid** Rectangular pyramid Pentagonal pyramid

4. ### Math

Carol is going to make a wooden pyramid and then paint it. She drew the net of a square pyramid as shown below to help her plan the project. What should be the total surface area in square feet of Carol's wooden pyramid? Here is

1. ### Maths

The height and volume of a square based pyramid are 12 cm and 100cm respectively.Find the length of the square base?

2. ### Math

the great pyramid of cheops is a square based pyramid with a height of 147 meters and a base length of 230 meters. find the angle to the nearest degree that one of the edges of the pyramid makes with the base

3. ### Math

Mr. Suarez want to paint his storage shed. He needs to calculate the surface area of the shed so that he will know how mush paint to buy. The shed is in the shape of a rectangular prism.Lenght of 14 feet width of 7 feet and height

4. ### alegebra1

The base edge of a square pyramid is 30 cm. The pyramid is 6 cm tall. Find the volume of the pyramid.

1. ### Perimeter

Lamar made a garden in the shape of a rectangle with an area of 36 square feet. The shorter side of the garden measures 4 feet. Explain how you can find the perimeter of the garden.

2. ### Math

A 40-foot by 10-foot rectangular garden is enclosed by a fence. To make the garden larger, while using the same amount of fencing, its shape is changed to a square. How many square feet larger than the old garden is the new

3. ### Math

A tool shed 250cm high and 100 cm deep is built against a wall. Calculate the shortest ladder that can reach from the ground, over the shed, to the wall behind. How can I solve this?

4. ### math

A vase in the shape of a sqare based pyramid just fits inside a box in the shape of a square based prism. If the prism has the volume of 720 cm then what is the volume of the vase?