Solid cuboid

A solid cuboid has a volume of 40 cm3. The cuboid has a total surface area of 100 cm squared. One edge of the cuboid has length 2 cm. Find the length of a diagonal of the cuboid. Give your answer correct to 3 sig. Fig.

Result

d =  13.748 cm

Solution:

Checkout calculation with our calculator of quadratic equations.

Leave us a comment of example and its solution (i.e. if it is still somewhat unclear...):

Be the first to comment!

To solve this example are needed these knowledge from mathematics:

Looking for help with calculating roots of a quadratic equation? Do you have a system of equations and looking for calculator system of linear equations? Tip: Our volume units converter will help you with converion of volume units. Pythagorean theorem is the base for the right triangle calculator.

Next similar examples:

1. Swimming pool
The pool shape of cuboid is 299 m3 full of water. Determine the dimensions of its bottom if water depth is 282 cm and one bottom dimension is 4.7 m greater than the second.
2. Tetrahedron
Calculate height and volume of a regular tetrahedron whose edge has a length 18 cm.
3. Cylinder diameter
The surface of the cylinder is 149 cm2. The cylinder height is 6 cm. What is the diameter of this cylinder?
4. Bottles
The must is sold in 5-liter and 2-liter bottles. Mr Kucera bought a total of 216 liters in 60 bottles. How many liters did Mr. Kucera buy in five-liter bottles?
5. Gasoline canisters
35 liters of gasoline is to be divided into 4 canisters so that in the third canister will have 5 liters less than in the first canister, the fourth canister 10 liters more than the third canister and the second canister half of that in the first canist
6. RTriangle 17
The hypotenuse of a right triangle is 17 cm. If you decrease both two legs by 3 cm you will reduce the hypotenuse by 4 cm. Determine the length of this legs.
7. Catheti
The hypotenuse of a right triangle is 41 and the sum of legs is 49. Calculate the length of its legs.
8. Equation
Equation ? has one root x1 = 8. Determine the coefficient b and the second root x2.
9. Roots
Determine the quadratic equation absolute coefficient q, that the equation has a real double root and the root x calculate: ?
Find the roots of the quadratic equation: 3x2-4x + (-4) = 0.
11. Theorem prove
We want to prove the sentense: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
12. Discriminant
Determine the discriminant of the equation: ?
13. Linsys2
Solve two equations with two unknowns: 400x+120y=147.2 350x+200y=144
14. RT and circles
Solve right triangle if the radius of inscribed circle is r=9 and radius of circumscribed circle is R=23.
15. Euclid2
In right triangle ABC with right angle at C is given side a=27 and height v=12. Calculate the perimeter of the triangle.
16. ABS CN
Calculate the absolute value of complex number -15-29i.
17. Vector 7
Given vector OA(12,16) and vector OB(4,1). Find vector AB and vector |A|.