Diamond base
The prism with a diamond base has 24 cm and 20 cm long base diagonals. Calculate the height of a prism with a volume of 9.6 dm3 (cubic decimetres)
Correct answer:
Tips for related online calculators
Do you want to convert area units?
Do you know the volume and unit volume, and want to convert volume units?
Do you know the volume and unit volume, and want to convert volume units?
You need to know the following knowledge to solve this word math problem:
- algebra
- expression of a variable from the formula
- solid geometry
- prism
- planimetrics
- area of a shape
- rhombus
- diagonal
Units of physical quantities:
Grade of the word problem:
Related math problems and questions:
- Quadrilateral 8304
The base of the quadrilateral prism is a diamond with diagonals of 7 and 9 cm. The height of the prism is 22 cm. What is the area? - Calculate 23411
The prism with a diamond base has one base diagonal of 20 cm and a base edge of 26 cm. The edge of the base is 2:3 to the height of the prism. Calculate the volume of the prism. - Height of the prism
The volume of the quadrilateral prism is 723.6 cm³. The base of this prism is a rhombus with a side 9 cm long and a corresponding height of 6.7 cm long. Find the height of the prism. - Four prisms
Question No. 1: The prism has the dimensions a = 2.5 cm, b = 100 mm, c = 12 cm. What is its volume? a) 3000 cm² b) 300 cm² c) 3000 cm³ d) 300 cm³ Question No.2: The prism base is a rhombus with a side length of 30 cm and a height of 27 cm. The height of t - Corresponding 67714
The quadrilateral prism has a volume of 720cm³. Calculate the height of the prism if the base is a rhombus with a side 16 cm long and a corresponding height of 5 cm. - Prism height
What is the prism's height with the base of a right triangle of 6 cm and 9 cm? The diaphragm is 10.8 cm long. The volume of the prism is 58 cm³. Calculate its surface. - Calculate 4254
The prism's base is a diamond with a side length of 6 cm and a height of 4 cm. The height of the prism is 125% greater than the length of the side of the diamond. Calculate the surface area and volume of the prism. - The rod
The rod has the shape of a regular hexagonal prism with a volume of 32.4 cubic decimetres. What is the area of the base if it is 350 centimeters long? Round to ones. - Square prism
Calculate the volume of a four-sided prism 2 dm high, and the base is a trapezoid with bases of 12 cm, 6 cm, the height of 4 cm, and 5 cm long arms. - Quadrilateral 23881
Calculate the height of a regular quadrilateral prism whose base is a rhombus. The edge in the base is 7 cm long, the opposite edges are 5 cm apart, and we also know that the entire body has a volume of 1dm³. - Centimeters 6593
What is the height of a prism with the base of a right triangle with squares of eight centimeters and ten centimeters and a volume of 0.098 cubic decimetres? - Centimeters 82219
What is the height of a box whose base edges are 50 mm long and 0 full six dm if its volume is 120 cubic centimeters? - Triangular prism
The triangular prism has a base in the shape of a right triangle, the legs of which are 9 cm and 40 cm long. The height of the prism is 20 cm. What is its volume cm³? And the surface cm²? - Perpendicular 5424
A regular perpendicular quadrilateral prism with a base edge of 10 cm has a volume of 10 dm³. What is the height of this prism? - Trapezoidal prism
Calculate the volume of a prism with a trapezoidal base with side a = 6 dm, side c = 4 dm, and height of the prism = 8dm. The height of the trapezoid is va = 3dm. - Quadrilateral pyramid
A regular quadrilateral pyramid has a volume of 24 dm³ and a base edge a = 4 dm. Calculate: a/height of the pyramid b/sidewall height c/surface of the pyramid - Quadrilateral 14211
We poured water up to a height of 34 cm into a container of a regular quadrilateral prism with a base edge a = 10.6 cm and a wall diagonal of 3.9 dm. We then inserted a 6 cm long cylinder with a diameter of 10 cm. How many liters of water overflowed?
