Answer: The total volume of the the cubes in the tower is 792 cubic centimetres (792 cm³)
Step-by-step explanation: We shall call the volume of the cube at the bottom VB, the volume of the cube at the middle VM, and the volume of the cube at the top VT. The tower is made up of cubes at different levels and at the bottom the cube measures 8 centimetres. The cube at the middle measures 2 cm less than the bottom cube, hence middle cube equals 8 minus 2 which equals 6 cm. The top cube measures 2 cm less than the middle cube, hence the top cube equals 6 minus 2 which equals 4 cm. The volume of each cube is given as;
Volume = L³
The length of a cube measures the same on all sides, that is, length, width and height. The length on all sides therefore of the bottom cube is 8 cm. The volume equals;
VB = 8³
VB = 512 cm³
The length on all sides of the middle cube is 6 cm (measures 2 cm shorter than the bottom cube). The volume of the middle cube equals;
VM = L³
VM = 6³
VM = 216 cm³
The length on all sides of the top cube is 4 cm (measures 2 cm shorter than the middle cube). The volume of the top cube equals;
VT = L³
VT = 4³
VT = 64
From the calculations shown, the total volume of the cubes in the tower is given as;
Total volume = VB + VM + VT
Total volume = 512 + 216 + 64
Total volume = 792 cm³
Total volume is 792 cubic centimetres.
Answer:
4 minutes
Step-by-step explanation:
looks at the 8 gallon line and follow it over to the corresponding minute line
Answer:
D.16x^52 I worked it out on paper
l Bengali food recipes in hindi and english to hindi
Answer:
420
Step-by-step explanation:
The remainder theorem tells you the remainder is f(4), which you can find by evaluating the expression for x=4. Evaluation is simpler if the expression is written in Horner form first.
... f(x) = (((x +4)x -1)x -16)x -12
... f(4) = (((4 +4)4 -1)4 -16)4 -12
... = ((8·4 -1)4 -16)4 -12
... = (31·4 -16)4 -12
... = 108·4 -12 = 420
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<em>Comment on evauation using Horner's form</em>
The intermediate results (contents of parentheses) are the same as the intermediate results you get when you use synthetic division.
