A ladder that is 14 feet long is placed against a building. The bottom of the ladder is 6 feet from the base of the building.
2 answers:
The first step in solving a problem is illustrating it just as what the picture shows. The ladder represents the hypotenuse, or the longest side of the right triangle. It measures 14 feet. The base measures 6 feet. The height of the top of the ladder from the base of the wall is denoted as x. Since this is a right triangle, the special equations for Pythagorean theorems would apply. The equation is
c^2 = a^2 + b^2, where c is the hypotenuse, a and b are the other shorter legs. Substituting the values,
14^2 = 6^2 + x^2
x^2 = 14^2 - 6^2
x^2 = 160
x = 4√10 = 12.65 feet
c^2 = a^2 + b^2, where c is the hypotenuse, a and b are the other shorter legs. Substituting the values,
14^2 = 6^2 + x^2
x^2 = 14^2 - 6^2
x^2 = 160
x = 4√10 = 12.65 feet
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Answer:
The number of cubes that fill the prism is 24
Step-by-step explanation:
Given as :
The length of cube (l) = cm
The length of prism (L) = 1 cm
The width of prism (w) = 2 =
cm
The height of prism (h) = cm
Let the number of cubes that fill the prism = x
Now, Volume of cube with length (l) = l³ cm³
Or, Volume of cube with length (l) = cm³
Or, Volume of cube with length (l) = cm³
Again , Volume of prism =
Or, Volume of prism =
Or, Volume of prism = cm³
<u>So , The number of cubes to fill prism </u>
The number of cubes × Volume of cube = Volume of prism
Or, x × cm³ =
cm³
or x = = 24
Hence The number of cubes which fill the prism is 24 Answer