Question

A rectangular prism with a volume of 400 cubic centimeters has the dimensions x + 1 centimeters, 2x centimeters, and x + 6 centimeters. The equation mc026-1.jpg can be used to find x. What is the length of the longest side? Use a graphing calculator and a system of equations to find the answer. 4 centimeters 5 centimeters 8 centimeters 10 centimeters

Answer 1

The last option D is the answer, 10cm

Answer 2

The answer to this question is "10 cm." The longest side will be 10 cm.
The value of x here is 4cm. Substitute 4cm as the value of x.
x + 1 centimeters------ 4 cm + 1 cm = 5 cm 
 2x centimeters----- 2 ( 4cm) = 8 cm
and x + 6 centimeters---- 4 cm + 6 cm = 10 cm
Checking:
To find the volume of a figure, we will use this formula: l×w×h
Volume=l×w×h
            = 10 cm × 5 cm × 8 cm
            =400 cm³
Thus, the given was, the rectangular prism is 400 cubic centimeter.