To find the volume of a rectangular prism, we can use the formula [ V = l * w * h ]
V = 5 * 2 1/2 * 1 1/2
V = 12 1/2 * 1 1/2
V = 18 3/4cm³
Now that we know the volume, we can check each answer choice.
Option A:
5 ∙ 2 1/2 ∙ 1 1/2
12 1/2 * 1 1/2
18 3/4cm³
Option B:
12 1/2 ∙ 1 1/2
18 3/4cm³
Option C:
1 1/2(5 + 2 1/2)
1 1/2(7 1/2)
11 1/4cm³
Option D:
1/2(12 1/2 ∙ 1 1/2)
1/2(18 3/4)
9 3/8cm³
Therefore, the only correct options are A and B.
Best of Luck!
Length(l)= 2w
width(w)= w
Perimeter(P)= 2w+2l= 72 (simplify expression: divide each side by 2 )
P= w+l= 36 (plug in "2w" for "l")
P= w+(2w)= 36
P= 3w= 36 (divide each side by 3 to find the width)
w= 12 units
find length:
l=2w
l= 2(12)
l= 24 units
Answer:
The length of this rectangle is 24 units and the width is 12 units.
Answer:
h ≈ 11.9
Step-by-step explanation:
Since the triangle is right we can use the cosine ratio to find h
cos24° = =
Multiply both sides by 13
13 × cos24° = h
⇒ h = 11.9 cm ( to 1 dec. place )
Answer:
Y=4+8
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given two points on the line (0, 16) and (3, 40), an equation for the line can be written using the slope-intercept line equation which takes the format .
Where,
b = y-intercept or the point at which the line cuts the y-axis.
Let's find slope (m) using the slope formula:
Let,
Find b. Substitute the values of x = 0, y = 16, and m = 8 in the slope-intercept formula to find b.
Plug in the values of m and b into the slope-intercept formula to get the equation of the line.
Let's use the equation to find x when y = 112.
Substitute y = 112 in the equation
Divide both sides by 8