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What does lateral area mean?
Lateral area refers to the total surface area of the sides (or lateral faces) of a three-dimensional object, excluding the base(s) and/or the top. It is calculated by adding up the areas of all the non-base faces of the object. Lateral area is often used in geometry and is helpful in finding the surface area of various shapes, such as prisms, cylinders, and cones.
1. What does lateral area mean?
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1 point
the surface area of a whole solid
the surface area of the bases of a solid
the surface area minus the base(s)
The correct answer is: the surface area minus the base(s). Lateral area refers to the surface area of the sides (or lateral faces) of a three-dimensional object, excluding the base(s) of the solid.
2. Find the surface area of a square pyramid with a base length of 3 ft and a slant height of 8 ft.
To find the surface area of a square pyramid, you need to calculate the sum of the areas of all its faces.
Since the base of the square pyramid is a square, the area of the base is given by the formula:
Area of a square = side length squared
Area of the base = (3 ft)^2 = 9 ft^2
Now, let's calculate the area of the four triangular faces. Each triangle has a base equal to the side length of the base of the pyramid (3 ft) and a height equal to the slant height of the pyramid (8 ft). The formula for the area of a triangle is:
Area of a triangle = (1/2) * base * height
Area of each triangular face = (1/2) * 3 ft * 8 ft = 12 ft^2
Since there are four triangular faces, the total area of the four faces is 4 * 12 ft^2 = 48 ft^2.
To find the total surface area, we need to add the area of the base and the area of the four triangular faces:
Total surface area = Area of the base + Area of the four triangular faces
= 9 ft^2 + 48 ft^2
= 57 ft^2
Therefore, the surface area of the square pyramid is 57 square feet.
35 x 4
35 multiplied by 4 equals 140.
3. Find the volume of the rectangular prism. Round to the nearest tenth.
image shows a rectangular prism with a height of 4 cm, a width of 5 sm, and a length of 7 cm.
280 cm^3
112 cm^3
140 cm^3
132 cm^3