Prism X
The prism with the edges of the lengths x cm, 2x cm, and 3x cm has a volume 29478 cm3. What is the area of the surface of the prism?
Correct answer:
Tips for related online calculators
Do you want to convert length units?
Tip: Our volume units converter will help you convert volume units.
Tip: Our volume units converter will help you convert volume units.
You need to know the following knowledge to solve this word math problem:
- algebra
- expression of a variable from the formula
- arithmetic
- cube root
- square root
- third power
- exponentiation
- solid geometry
- cuboid
- surface area
- prism
Units of physical quantities:
Grade of the word problem:
We encourage you to watch this tutorial video on this math problem: video1
Related math problems and questions:
- Indoor aquarium
World's biggest indoor aquarium. In its enormous tank with the capacity represented by the following polynomial V=4x³+43x²+63x The aquarium is rectangular prism shape. Find the following: 1. If the aquarium's height is x, then find the area of the base (B - An architect 2
An architect is designing a house. He wants the bedroom to have the dimensions of 8 ft by 4 ft by 7 ft. The architect doubles all three dimensions to create the den. Does that mean the den will have double the volume of the bedroom? First, find the volume - Cube edges
The cube has an edge of 4 cm. It has the same volume as a block, the base of which has an area of 32 cm². What height is the block? - Cuboid to cube
A cuboid with dimensions of 9 cm, 6 cm, and 4 cm has the same volume as a cube. Calculate the surface of this cube. - An example
An example is playfully for grade 6 from Math, and I don't know how to explain it to my daughter when I don't want to use the calculator to calculate the cube root. Thus: The student made a cuboid from a block of 16x18x48 mm of plasticine. What will be th - Cuboid and ratio
A cuboid has a volume of 810 cm³. The lengths of edges from the same vertex are in a ratio of 2:3:5. Find the dimensions of a cuboid. - Alien ship
The alien ship has the shape of a sphere with a radius of r = 3000m, and its crew needs the ship to carry the collected research material in a cuboid box with a square base. Determine the length of the base and (and height h) so that the box has the large - Minimum surface
Find the length, breadth, and height of the cuboid-shaped box with a minimum surface area, into which 50 cuboid-shaped blocks, each with length, breadth, and height equal to 4 cm, 3 cm, and 2 cm, respectively, can be packed. - Volume and body diagonal
Calculate how much the cuboid's volume and body diagonal decrease if we reduce each of its three edges, a, b, and c, by 18%. - Cuboid edges in ratio
Cuboid edge lengths are in ratio 2:4:6. Calculate their lengths if you know that the cuboid volume is 24576 cm³. - Body diagonal
The cuboid has a volume of 32 cm³. Its side surface area is double as one of the square bases. What is the length of the body diagonal? - Rectangle pool
Find dimensions of an open pool with a square bottom with a capacity of 32 m³ to have painted/bricked walls with the least amount of material. - Cuboids in cube
How many can cuboids with dimensions of 6 cm, 8 cm, and 12 cm fit into a cube with a side of 96 centimeters? - For thinkings
The glass cube dives into the aquarium, which has a length of 25 cm, a width of 20 cm, and a height of 30 cm. Aquarium water rises by 2 cm. a) What is the volume of a cube? b) How many centimeters measure its edge? - Grain storage
On their farm, Adam’s family maintains a storage that can hold 19.2 cubic yards (yd3) of grain. Use the fact that 1 yard is approximately equal to 0.9144 m to convert this volume to m³. - Building blocks
Rosa bought a set of building blocks for her younger brother, Owen, for his birthday. Owen opened the gift and immediately used all 35 blocks in the set to build a tower shaped like a rectangular prism. Each block is a cube that is 1 1/2 inches along each - Height of the box
The box needs to have a volume of 108 ¾ cubic inches. If the width of the box is going to be 7 ¼ inches, and depth of the box is going to be 1 ¼ inches, what must the height of the box be?