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:
- Smallest z9
Find the smallest positive numbers a and b for which 7a³ = 11b⁵ - Find x 2
Find x, y, and z such that x³+y³+z³=k for each k from 1 to 100. Write down the number of solutions. - Z9-I-4
Kate thought of a five-digit integer. She wrote the sum of this number and its half in the first line of the workbook. On the second line, write a total of this number, and its one fifth. She wrote a sum of this number and its one nines on the third row. - Two numbers 17
The sum of two numbers is 9, and the sum of their cubes is 189; find the sum of their squares. - Harold
Harold made a rectangular dog run in his backyard. The area of the dog run is 96 square feet. What are three different possible dimensions of dog run? - Vegetable storage
To help vegetables stay fresh longer, Liam's family maintains storage near their home. The total volume of the root cellar is 737 cubic feet (ft³). Use the fact that 1 foot is approximately equal to 0.3048 m to convert this volume to m³. Round your answer - Two-seventeenths 82639
Mr. Dolphin and Mr. Shark were skilled fishermen. Once, they caught a total of 70 fish. Five-ninths of the fish Mr. Dolphin caught were trout. Two-seventeenths of the fish Mr. Shark caught were carp. How many fish did Mr. Dolphin catch? - Two-digit 82521
Karel had to multiply two two-digit numbers. Out of care, he changed the order of the digits in one of the factors and got a product that was 4,248 less than the correct result. What is the correct result? How much should Karl have earned? - Perfect square or cube
Would you classify 324 as a perfect square, perfect cube, both, or neither? ... - Calculate 415
Calculate the cuboid's dimensions if the sum of its edges is 19cm. The body's diagonal size is 13 cm, and its volume is 144 cm³. The total surface area is 192 cm². - A cube 3
A cube of edge 100 cm has the same volume as a cube of edge 1 m. how many cubic centimeters make 1 cubic meter? - A man 12
A man in his will shared his money geometrically among his six sons, so the eldest son received ; 5,589 and the youngest son received ; 736. (A)How much will the fourth son receive? (B)How much was shared among them - FINDING GEOMETRIC MEANS
Find the indicated number of geometric means between the pair of numbers. 16 and 81 [insert 3 members: 16, _, _, _, 81] - Evaluate 26
Evaluate square root: √1³+2³+3³+4³= - Two pots
Two similar pots have 16 cm and 10 cm heights if the smaller pot holds 0,75 l. Find the capacity of the larger pot - Three flocks
Flocks of birds pass by, and one bird on a tree asks them, how many of you? And they respond, we are so plenty. The second flock of birds again passes by and asks the bird on a tree, how many of you? The response is we are one-half (1/2) of the first floc - 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