What is the length of the diagonal for the given rectangular prism to the nearest whole unit? A) 10 cm B) 11 cm 6 cm D) 13 cm
1 answer:
Hi there! :)
Begin by using Pythagorean theorem to solve for the length of the diagonal of the base:
a² + b² = c²
Use the length and width in the equation:
8² + 3² = c²
64 + 9 = c²
73 = c²
c ≈ 8.54 cm
Now, we can find the length of the diagonal of the prism using our calculated diagonal of the base and the height. Use the same equation:
(8.54)² + 7² = c²
73 + 49 = c²
122 = c²
√122 = c
c = 11.05 ≈ 11 cm. The correct answer is B.
You might be interested in
The solution of the linear equations will be (-2, 1).
<h3>What is the solution to the equation?</h3>The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The equations are given below.
y = -(5/2)x - 4
y = (1/2)x + 2
The above equations are the equation of the line.
The lines are drawn on the graph. And the lines intersect at (-2, 1).
Thus, the solution of the linear equations will be (-2, 1).
More about the solution of the equation link is given below.
#SPJ1
