A university dean is interested in determining the proportion of students who receive some sort of financial aid. Rather than ex
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Surface area of the solid = 7.1781 in²
Volume of the solid = 0.804 in³
Explanation:
Surface area of the solid = surface area of the square prism - 2(base of the cylinder) + lateral surface of cylinder
surface area of a square prism = 2(lw + lh + wh)
l = length = 1 in
w = length = 1 in
h = height = 1 in
using the value π as it is on the calculator
Base area of a cylinder = πr²
2(Base area of cylinder) = 2πr² = 2π(0.25)² = 0.3927
Lateral surface area = 2πrh = 2π(0.25)(1) = 1.5708
Surface area of the solid = 6 - 0.3927 + 1.5708
Surface area of the solid = 7.178 in²
Volume of the solid = Volume of the square prism - volume of the cylinder
Volume of square prism = length × width × height
length = 1 in, width = 1 in, height = 1 in
Volume of the solid = 1 in × 1 in × 1 in = 1 in³
Volume of a cylinder = πr²h
Volume of the cylinder = π × 0.25 × 0.25 × 1 = 0.196
Volume of the solid = 1 - 0.196
Volume of the solid = 0.804 in³
Answer:
Length:28 cm
Width: 13 cm
Step-by-step explanation:
Let
x ---> the length of a rectangle picture frame
y ---> the width of a rectangle picture frame
we know that
The area of a rectangle picture frame is equal to
we have
so
----> equation A
The length of a rectangle picture frame is 2 centimeters more than twice it’s width
so
---> equation B
Solve the system by graphing
Remember that the solution is the intersection point both graphs
The solution is the point (28,13)
see the attached figure
therefore
Length:28 cm
Width: 13 cm
