The figure shown is a composite figure. You can compartmentalize this figure into two separate figures to facilitate calculating the volume. I will section the figure into a cube and a rectangular prism. In a cube, the sides are congruent. So,

v = a³

v = 4³

v = 64

Now, for the rectangular prism.

v = l · w · h

v = 10 · 3 · 2

v = 60

Now, for the total collective volume, simply add up the volumes of the independent shapes.

64 + 60 = 124 cm³

3 0

3 years ago

Which expression gives the distance between the points (2,4) and (5,3)?

love history [14]

Answer: $\sqrt{10}$

Step-by-step explanation:

$d = \sqrt{(x_{2}-x_1)^2 + (y_{2}-y_1)^2 } \\x_2 = 5\\x_1 = 2\\y_2 = 3\\y_1 = 4\\\\\\d = \sqrt{(5-2)^2 + (3-4)^2 } \\\\d = \sqrt{3^2 + 1^2}\\d = \sqrt{10}$

6 0

3 years ago