Answer: A - 30 cubes
B - Volume of prism = feet³
Step-by-step explanation: We are given that the dimensions of the rectangualr prism is,
Length = = feet
Width = 1 foot
Height = = feet
Thus, the volume of the prism = Length × Width × Height
i.e. Volume of the prism = × 1 × = feet³
Now, the side of the cube = foot each.
Volume of the cube = = feet³
Answer: 69
Step-by-step explanation:
The two angles are a linear pair, which means that they lie on the same line. Therefore, you just have to substract angle 1 with 180.
180-111=69
Answer:
X=6
FG=31
GH=22
Step-by-step explanation:
Equation: FG+GH=FH
rewrite with values
4x+7 + 5x-8 = 53
combine like terms
9x-1 = 53
add 1 to both sides
9x = 54
divide by 9
x = 6
use 6 end solve for FG and GH
FG = 4(6) + 7 = 31
GH = 5(6) - 8 = 22
Check your answers.. Do FG and GH add up to equal FH (53)?
31 + 22 = 53
I hope this made sense.
Answer:
120 blocks total
Step-by-step explanation:
All of the little cubes have side length 2" Thus, the 11" height of the box cannot be used entirely: we waste the top 1" because the five layers of little cubes reach only to 10" from the bottom.
Start at the bottom of the box. The dimensions of the bottom are 12" by 8". Along the longer side we can lay 6 blocks (which add up to 12" and are 2" wide. We can add 3 more such rows to fill the available 8" width of the box bottom. That's 6*4, or 24 blocks.
We can add 4 more 6 block by 4 block layers before we have the maximum 5 layers stacked in the box.
5 layers times 24 blocks per layer comes to 120 blocks total.
