Homework Help: on areas

Posted by sree on Wednesday, January 4, 2012 at 12:39pm.

the surface area of the three faces having the same border of a cuboid are 4,10,40 sq.cm respectively. find the volume of the cuboid?

on areas - Reiny, Wednesday, January 4, 2012 at 1:36pm
let the dimensions of the cube be x, y , and z
xy = 4, (#1)
xz=10 and (#2)
yz=40 (#3)

#1 ÷ #2 :
z/y = 5/2
y = 2z/5

In #3: yz=40 ---> (2/5)z^2 = 40
z^2 = 100
z = 10
then y = (2/5)(10)
y = 4
in #1
xy=4
4x = 4
x = 1

volume = xyz = 1 x 4 x 10 = 40

check:
xy = 1x4 = 4
xz = 1x10 = 10
yz = 4x40 = 40

Answer this Question

Related Questions

maths-urgently needed - The areas of the the three adjacent faces of a cuboid ...
Geometry - A wooden cylinder with a diameter of 10 centimeters and a height of ...
maths - calculate the surface area of the following prism cuboid; 2cm 6cm 4cm ...
maths - calculate the surface area of the following prism cuboid; scm 6cm 4cm ...
maths - When two cube of side 12 cm are joined end to end to form a cuboid then ...
Maths - A cuboid has total surface area of 40 meter squar and its lateral ...
science - for the three cubes shown below, determine their surface area, volume ...
Math - VWXYZ is a rectangle-based pyramid where WX = 66 cm and XY = 32 cm. The ...
Math--Volume and Surface Area - The volume of a cube is 125 cubic inches. Find ...
math - The aera of rectangle MATH is 30 sq cm and each side-length is a counting...

For Further Reading

First Name:
School Subject:
Answer: