Cuboid - ratios
The sizes of the edges of the cuboid are in the ratio of 2:3:5. The smallest wall has an area of 54 cm2. Calculate the surface area and volume of this cuboid.
Correct answer:
Tips for related online calculators
Are you looking for help with calculating roots of a quadratic equation?
Check out our ratio calculator.
Tip: Our volume units converter will help you convert volume units.
Check out our ratio calculator.
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
- quadratic equation
- expression of a variable from the formula
- solid geometry
- cuboid
- surface area
- basic functions
- ratio
- direct relationship
Units of physical quantities:
Grade of the word problem:
Related math problems and questions:
- Dimensions 81805
The soap has the shape of a cuboid with dimensions of 6 cm, 4 cm, and 2 cm. Katy used it for a week and all the dimensions of the soap shrunk by half. How long will her soap last? - Quadrilateral 70294
The edge lengths of a quadrilateral prism are in the ratio a: b: c = 2:4:5. The surface of the prism is 57 cm². Calculate the volume. - 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 - The expenses
The expenses on rice, fish and oil of a family are in the ratio 12:17:3.The prices of these articles are increased by 20%, 30% and 50% respectively. Find the total increased percent.
- Profit sharing
Three people A, B and C started a business by investing Rs. 250000 Rs. 300000 and Rs.350000 respectively. Find the share of B, out of an annual profit of Rs.187200. - Two syrups
There are two pots of mixture of syrup and water having ratios 3:2 & 4:5 respectively. What quantity of solution of 1st pot is to be mixed with 3 litre of 2nd pot to get a new mixture where both syrup and water will be same? - The angles 6
If the angles of a triangle are in the ratio 2 : 3: 4. Find the value of each angle. - Dividing money 7
A: B: C is in the ratio of 3:2:5. How much money will C get out of Rs 1260? - Money sharing
A sum of money is to be distributed among A, B, C, and D in the proportion of 5: 2: 4 : 3. If C gets 1000 USD more than D, what is B's share?
- A provision
John had provisions for a certain number of days. After 10 days 1/5 of the men desert and he is found that the provisions will now last just as long as before. How long was that? - Profit percentage
The ratio of cost price to selling price is 20: 21. What is the profit percentage? - To percentages
Convert the following ratios to percentages. (a) 3 : 4 (b) 2 : 3 (c) 5/8 (d) 15/16 - Double sides
If each side of a triangle is doubled, then find the ratio of the area of the new triangle thus formed to the given triangle. - Solution dilution
I'm further diluting a solution which has previously been diluted. I started with a 1:4 dilution, then diluted that a further 1:5, what is my dilution factor after this?
- A rope
A 75m piece of rope needs to be cut in a ratio of 1:4. What is the length of each piece? - Calculation 83339
The edges of a cuboid are in the ratio 1:2:3. Calculate their length if you know that the surface of the entire cuboid is S=5632 m². Then, perform a test to ensure the calculation is correct. - A park on map
A park has an area of ⅙ mi². On a map, the park has an area of 1 ¼ cm². On the map, how many square centimeters represent 1 mi²?