A square pyramid has a base area of 20\text{ cm}^2 and each triangular face has an area of 15\text{ cm}^2.
Find the surface area of the pyramid.
A regular hexagonal pyramid has a base area of 36\text{ cm}^2 and each triangular face has an area of 14\text{ cm}^2.
Find the surface area of the pyramid.
Find the surface area of the following pyramids:
Find the surface area of the following pyramids:
A square pyramid with base edge 10\text{ cm} and perpendicular height 5\text{ cm}.
A rectangular pyramid with base 10\text{ cm} by 5\text{ cm}, and perpendicular height 4\text{ cm}.
Consider the following square pyramid:
Find the height of the triangular faces, correct to two decimal places.
Find the surface area of the square pyramid correct to one decimal place.
Consider the rectangular pyramid with rectangular base of dimensions 4\text{ cm} by 8\text{ cm} and perpendicular height of 8\text{ cm}.
Find the value of x, correct to two decimal places.
Find the value of y, correct to two decimal places.
Find the surface area of the pyramid, correct to one decimal place.
Find the surface area of the following cones, correct to two decimal places:
For each of the following cones, use their given measurements to:
Find the slant height of the cone.
Calculate the surface area of the cone, correct to two decimal places.
Radius =3\text{ cm}, Height =4\text{ cm}
Radius =5\text{ cm}, Height =12\text{ cm}
Radius =12\text{ cm}, Height =5\text{ cm}
Radius =15\text{ cm}, Height =8\text{ cm}
Radius =1\text{ m}, Height =1\text{ m}
Radius =8\text{ m}, Height =5\text{ m}
A cone has a radius of 8\text{ cm} and a height of 6\text{ cm}. Find the exact surface area of the cone. Give your answer in terms of \pi.
A cone has a diameter of 8\text{ units} and a height of 7\text{ units}. Find the surface area of the cone, correct to two decimal places.
Find the volume of the following pyramids using the given measurements.
Base area =10\text{ cm}^2, Height =9\text{ cm}
Base area =15\text{ m}^2, Height =8\text{ m}
Base area =16\text{ cm}^2, Height =12\text{ cm}
Base area =130\text{ mm}^2, Height =7\text{ mm}
Find the volume of the following pyramids, rounding your answers to two decimal places where necessary:
The Great Pyramid in Egypt has a square base with side length 230 \text{ m} and a vertical height of 146 \text{ m}. Find the volume of the Great Pyramid.
Find the volume of a cone that has radius of 8\text{ cm} and vertical height of 13\text{ cm}, correct to two decimal places.
Find the exact volumes of the following cones using their given measurements.
Radius =3\text{ cm}, Height =8\text{ cm}
Radius =4\text{ cm}, Height =6\text{ cm}
Radius =10\text{ cm}, Height =3\text{ cm}
Radius =12\text{ cm}, Height =15\text{ cm}
Radius =5\text{ cm}, Height =4\text{ cm}
Radius =10.8\text{ cm}, Height =7\text{ cm}
Find the volume of a cone that has a diameter of 3\text{ m} and a height of 1.3\text{ m}, correct to two decimal places.
Consider the cone on the right:
Calculate the perpendicular height.
Hence find the volume of the cone. Round your answer to three significant figures.
