Answer:
The new volume is 14,850cm³
Step-by-step explanation:
Given
Volume of a rectangular prism = 550cm
Required
Value of volume when the dimensions are tripled.
The volume of a rectangular prism is calculated using the following formula.
V = lbh
<em>When Volume = 550, the formula is written as follows</em>
550 = lbh
<em>Rearrange</em>
lbh = 550
However, when each dimension is tripled.
This means that,
new length = 3 * old length
new breadth = 3 * old breadth
new height = 3 * old height
<em>Let L, B and H represent the new length, new breadth and new height respectively</em>
In other words,
L = 3l
B = 3b
H = 3h
Calculating new volume
New volume = LBH
Substitute, 3l for L, 3b for B and 3h for H;
V = 3l * 3b * 3h
V = 3 * l * 3 * b * 3 * h
V = 3 * 3 * 3 * l*b*h
V = 27 * lbh
Recall that lbh = 550
So,
V = 27 * 550
V = 14,850
Hence, the new volume is 14,850cm³
Answer:
1/2
Step-by-step explanation:
Instructions? "Find the number."
12 + 5n = 9n
12 = 4n and so n = 3 (answer)
Answer:
Step-by-step explanation:
Step 1. Calculate the volume of the room
V = lwh = 5 yd × 5 yd × 3 yd = 75 yd³
Step 2. Convert cubic yards to cubic feet
3 ft = 1 yd
Step 3. Convert cubic feet to cords
128 ft³ = 1 cord
Answer:
D) 125°
Step-by-step explanation:
FGHJ is congruent to RSTV
So, m∠F = m∠R
∠R = 125
∠F = 125
