# Surface area + body volume - math problems

- The cylinder 2

Find the volume and the lateral area of a cylinder of height 12 inches and a base radius of 4 inches. - A concrete pedestal

A concrete pedestal has a shape of a right circular cone having a height of 2.5 feet. The diameter of the upper and lower bases are 3 feet and 5 feet, respectively. Determine the lateral surface area, total surface area, and the volume of the pedestal. - Base of prism

The base of the perpendicular prism is a rectangular triangle whose legs length are at a 3: 4 ratio. The height of the prism is 2cm smaller than the larger base leg. Determine the volume of the prism if its surface is 468 cm^{2}. - Triangular prism

Calculate a triangular prism if it has a rectangular triangle base with a = 4cm and hypotenuse c = 50mm and height of the prism is 0.12 dm. - Prism 4 sides

Find the surface area and volume four-sided prism high 10cm if its base is a rectangle measuring 8 cm and 1.2dm - Quadrangular pyramid

The regular quadrangular pyramid has a base length of 6 cm and a side edge length of 9 centimeters. Calculate its volume and surface area. - Regular triangular pyramid

Calculate the volume and surface area of the regular triangular pyramid and the height of the pyramid is 12 centimeters, the bottom edge has 4 centimeters and the height of the side wall is 12 centimeters - Calculate 3

Calculate the cube volume whose edge is 3x-1,3x-1,3x-1 - The volume

The volume of a solid cylinder is 260 cm^{3}the cylinder is melt down into a cuboid, whose base is a square of 5cm, calculate the height of the cuboid and the surface area of the cuboid - Prism diagonal

The body diagonal of a regular square prism has an angle of 60 degrees with the base, the edge length is 10 cm. What is the volume of the prism? - Sphere radius

The radius of the sphere we reduce by 1/3 of the original radius. How much percent does the volume and surface of the sphere change? - Sphere VS

Find the surface and volume of a sphere that has a radius of 2 dm. - Surface of cuboid

Find the surface of the cuboid if its volume is 52.8 cm^{3}and the length of its two edges is 2 cm and 6 cm. - Tetrahedral pyramid

A regular tetrahedral pyramid is given. Base edge length a = 6.5 cm, side edge s = 7.5 cm. Calculate the volume and the area of its face (side area). - Cuboid

Cuboid has a surface of 516 cm^{2}. Side a = 6 cm and b = 12 cm. How long is the side c =? - Cube walls

Find the volume and the surface area of the cube if the area of one of its walls is 40 cm^{2}. - Equilateral cylinder

A sphere is inserted into the rotating equilateral cylinder (touching the bases and the shell). Prove that the cylinder has both a volume and a surface half larger than an inscribed sphere. - Triangular prism

Calculate the volume and surface of the triangular prism ABCDEF with base of a isosceles triangle. Base's height is 16 cm, leg 10 cm, base height vc = 6 cm. The prism height is 9 cm. - Area to volume

If the surface area of a cube is 486, find its volume. - Height as diameter of base

The rotary cylinder has a height equal to the base diameter and the surface of 471 cm^{2}. Calculate the volume of a cylinder.

Do you have an interesting mathematical word problem that you can't solve it? Enter it, and we can try to solve it.