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3 years ago

7

There is an ample supply of identical blocks (as shown). Each block is constructed from four 1 × 1 × 1 unit-cubes glued whole-fa

ce to whole-face. What is the greatest number of such blocks that can be packed into a box that is 6 units tall, 7 units wide, and 8 units deep without exceeding the height of the box?

2 answers:

Savatey [412]3 years ago

7 0

Answer: 72

Step-by-step explanation: We did this question during class and this was the answer. Hope this helps!

mezya [45]3 years ago

3 0

Answer:

84

Step-by-step explanation:

(6x8x7)/4 = 84

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How many solutions does the equation 2x-6=3(x-1)-x-1

horsena [70]

Answer: No solutions

Step-by-step explanation:

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3 years ago

write the x and y coordinate (in the second and third column, respectively) of dilation of quadrilateral ABCD with vertices A(1,

gayaneshka [121]

Answer:

The coordinates of the dillated vertices are $A'(x,y) = (2,2)$ , $B'(x,y) = (4,4)$ , $C'(x,y) = (8,2)$ and $D'(x,y) = (4,-2)$ .

Step-by-step explanation:

From Linear Algebra, we define dilation by the following equation:

$P'(x,y) = O(x,y) + k\cdot [P(x,y)-O(x,y)]$ (1)

Where:

$O(x,y)$ - Center of dilation, dimensionless.

$P(x,y)$ - Original point, dimensionless.

$k$ - Scale factor, dimensionless.

$P'(x,y)$ - Dilated point, dimensionless.

If we know that $O(x,y) = (0, 0)$ , $k = 2$ , $A(x,y) = (1,1)$ , $B(x,y) = (2,2)$ , $C(x,y) = (4,1)$ and $D(x,y) = (2,-1)$ , then the dilated points are, respectively:

Point A

$A'(x,y) = O(x,y) + k\cdot [A(x,y)-O(x,y)]$ (2)

$A'(x,y) = (0,0) + 2\cdot [(1,1)-(0,0)]$

$A'(x,y) = (2,2)$

Point B

$B'(x,y) = O(x,y) + k\cdot [B(x,y)-O(x,y)]$ (3)

$B'(x,y) = (0,0) + 2\cdot [(2,2)-(0,0)]$

$B'(x,y) = (4,4)$

Point C

$C'(x,y) = O(x,y) + k\cdot [C(x,y)-O(x,y)]$

$C'(x,y) = (0,0) + 2\cdot [(4,1)-(0,0)]$

$C'(x,y) = (8,2)$

Point D

$D'(x,y) = O(x,y) + k\cdot [D(x,y)-O(x,y)]$

$D'(x,y) = (0,0) + 2\cdot [(2,-1)-(0,0)]$

$D'(x,y) = (4,-2)$

The coordinates of the dillated vertices are $A'(x,y) = (2,2)$ , $B'(x,y) = (4,4)$ , $C'(x,y) = (8,2)$ and $D'(x,y) = (4,-2)$ .

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3 years ago

What is 5/7 written as a decimal to the nearest hundredth?

VladimirAG [237]

Answer:

0.15

Step-by-step explanation:

6 0

4 years ago

Curium-242 was synthesized by bombarding an isotope with alpha particles,. Which equation shows this reaction?

Vlad [161]

B..............................

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3 years ago

Find the surface area of the composite figure

Gnoma [55]

Answer:

$=280$ $in^2$

Step-by-step explanation:

----------------------------------------

Let's find the surface area of the pink rectangular prism first.

$2*10=20+20=40$

$4*10=40+40=80$

$4*2=8+8=16$

$40+80+16=136$

The surface area for the pink rectangular prism is $136$ $in^2$ .

-------------------->>>>>

Now, let's find the surface area of the green rectangular prism.

$4*7=28+28=56$

$4*7=28+28=56$

$4*4=16+16=32$

$56+56+32=144$

The surface area for the green rectangular prism is 144 $in^2$ .

-------------------->>>>>

Now let's add the surface area of both rectangular prisms to find the surface area of the composite figure.

$136+144=$

$=280$ $in^2$

----------------------------------------

Hope this is helpful.

6 0

3 years ago

Read 2 more answers