Sure, let's solve this step by step.
The given dimensions of the right rectangular prism are:
Length = 1/2 m
Width = 1/4 m
Height = 5/4 cm
To find the product of the edge lengths, we multiply them:
(1/2 m) x (1/4 m) x (5/4 cm)
We can simplify the units by converting cm to m:
(1/2 m) x (1/4 m) x (0.0125 m)
= 0.00078125 m^3
This is the volume of the prism using the edge lengths formula.
Now, let's find the volume of the same prism by packing it with 10 cubes of edge length 1/4 m.
Each cube has a volume of:
(1/4 m) x (1/4 m) x (1/4 m) = 0.015625 m^3
The total volume of 10 such cubes is:
10 x 0.015625 m^3 = 0.15625 m^3
This is the volume of the prism using the packing method.
We can see that both methods give the same volume of the prism. Therefore, the answer is:
Volume of the prism = 0.15625 m^3.
Multiply the edge lengths of a right rectangular prism with the length of 1/2 m width 1/4 m and lenght 5/4 cm to show that the product is the same as the volume found by packing the prism with 10 unit cubes with an edge of 1/4 m what is the volume of the prism
3 answers
What is 0.15625 m^3 as a fraction
To write 0.15625 m^3 as a fraction, we need to convert the decimal to a fraction. Here's how:
0.15625 can be written as the fraction 15625/100000 in its simplest form.
To simplify this fraction, we can divide both the numerator and denominator by 15625, which gives:
15625/100000 รท 15625/15625 = 1/6.4
Therefore, 0.15625 m^3 can be expressed as the fraction 1/6.4.
0.15625 can be written as the fraction 15625/100000 in its simplest form.
To simplify this fraction, we can divide both the numerator and denominator by 15625, which gives:
15625/100000 รท 15625/15625 = 1/6.4
Therefore, 0.15625 m^3 can be expressed as the fraction 1/6.4.
7 answers