In a trapezoid, with bases 
and 
and height 
, the area is given by
In your case:
so, the formula becomes
Since the area is 
, we have
Answer:
The number of cubes are needed to fill the rectangular prism = 448 cubes
Step-by-step explanation:
It is given that,
A rectangular prism has a length of 7 cm, a width of 4 cm, and a height of 2
cm. The prism is filled with cubes that have edge lengths of 1/2 cm
<u>To find the volume of rectangular prism</u>
Volume of rectangular prism = Length x Width X Height
Length = 7 cm, Width = 4 cm and height = 2cm
Volume = 7 x 4 x 2 = 56 cm³
<u>To find the volume of small cubes</u>
Volume of cube = a³
a = 1/2 cm = 0.5³ = 0.125
<u>To find the number of cubes needed to fill prism</u>
Number of cubes = Volume of prism/ volume of cube
= 56/0.125 = 448 cubes
Therefore the correct answer is 448 cubes
Since both are right triangles you can use the Pythagorean Theorem.
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