Answer:
The lateral surface area of a cuboid is 180 units² .
Option (c) is correct.
Step-by-step explanation:
Formula
Lateral surface area of a cuboid = 2hl + 2hb
Where h is the height , l is the length and b is the breadth.
As shown in the figure.
Length = 4 units
Breadth = 5 units
Height = 10 units
Put in the formula
Lateral surface area of a box = 2 × 10 × 4 + 2 × 10 × 5
= 80 + 100
= 180 units ²
Therefore the lateral area of the cuboid is 180 units² .
Option (c) is correct.
Answer: 1
Step-by-step explanation: Because it is
These calculations are based on the drawing of the file enclosed.
There are three right triangles.
From the big right triangle:
a^2 + b^2 = 25^2
From the small right triangle on the left side:
(25-x)^2 + 10^2 = a^2
From the small right triangle on the right side
x^2 +10^2 = b^2
=> (25-x)^2 + 10^2 + x^2 + 10^2 = a^2 + b^2
=> (25-x)^2 + 10^2 + x^2 + 10^2 = 25^2
=> 25^2 - 50x + x^2 + 10^2 + 10^2 = 25^2
=> x^2 -50x + 100 =0
Use the quadratic formular to find the roots:
x = 2.1 and x = 47.9
Distance from back: 25 - 2.1 = 22.9 ft
Answer: 22.9 ft
Answer:
Width: <u>13</u> inches
Step-by-step explanation:
To find the width of prism you would have to divide the volume of the prism by the area of the cross section.
First calculate the area of the cross section of the prism:
17 × 25.5= 433.5
Then divide the cross section area by the volume:
5635.5 ÷ 433.5= 13
The width is <u>13 inches</u>
Answer:
1%
Step-by-step explanation:
We use the simple interest equation of A=P(1+rt).
A-the total amount with interest earned
P-the initial amount or principal
r-rate
t-time in years
We substitute the values P=6900, A=6923, and t=0.33 since 4 months divided by 12 months is 0.333 years. We then solve for r.
Our final step is to divide both sides by 0.33.
This is the decimal of the rate. We convert to a percentage by multiplying by 100. 0.01(100)=1%.