The radius of a circle is 10.2 cm. Find the circumference to the nearest tenth
to the nearest tenth.
Circumference = 2πr
Circumference = 2 × 3.14 × 10.2
Circumference = 64.188
To the nearest tenth, the circumference is 64.2 cm.
How does the net of a fish tank with no lid compare to the net of a fish tank with its lid on?(1 point)
Responses
Both the nets are identical.
The net of the fish tank with no lid has four rectangular faces, two pairs of congruent rectangles, and the net of the fish tank with its lid has six rectangular faces, three pairs of congruent rectangles.
The net of the fish tank with a lid comprises five rectangles, two pairs of congruent rectangles and one odd rectangle, whereas the net of the fish tank with no lid comprises six rectangles, three pairs of congruent rectangles.
The net of the fish tank with no lid comprises five rectangles, two pairs of congruent rectangles and one odd rectangle, whereas the net of the fish tank with its lid comprises six rectangles, three pairs of congruent rectangles.
The net of the fish tank with no lid and the net of the fish tank with its lid are different. The net of the fish tank with no lid has four rectangular faces and two pairs of congruent rectangles, while the net of the fish tank with its lid has six rectangular faces and three pairs of congruent rectangles.
Use the image to answer the question.
An illustration shows a 2 D net of a triangular prism with all of its sides open and visible. Dimensions are labeled. The parts that are not visible in 3 D view are marked with dashed lines. It appears as a triangle in the middle attached to a rectangle on each side. The sides of two legs of the triangle are each labeled 9 centimeters. The length and width of the rectangles is 17 centimeters and 9 centimeters respectively. Another triangle of vertical height 7.8 centimeters is attached to one of the rectangles, opposite to the middle triangle.
What is the total surface area represented by this net of a rectangular prism? Your answer should have two decimal places.
The net shown is not of a rectangular prism, but of a triangular prism with one of its bases extended into a rectangle. To find the total surface area, we need to find the area of each face and add them up:
- The area of the rectangle is 17 cm x 9 cm = 153 cm^2 (there are two of these faces, so the total area is 306 cm^2).
- The area of the middle triangle can be found using the formula A = (1/2)bh, where b is the base and h is the height. The base is 9 cm and the height can be found using the Pythagorean theorem: h^2 = 9^2 - (4.5)^2, so h = 7.79 cm (rounded to two decimal places). Therefore, the area of the middle triangle is (1/2)(9 cm)(7.79 cm) = 35.06 cm^2.
- The area of the triangle on the side can be found using the same formula, but with a base of 9 cm and a height of 7.8 cm: (1/2)(9 cm)(7.8 cm) = 35.1 cm^2.
Adding up these areas gives us the total surface area: 306 cm^2 + 35.06 cm^2 + 35.1 cm^2 = 376.16 cm^2.
Therefore, the total surface area represented by this net is 376.16 cm^2.
To find the circumference of a circle, you need to use the formula: C = 2πr, where "C" represents the circumference and "r" represents the radius.
Given the radius of the circle is 10.2 cm, we can substitute this value in the formula:
C = 2π(10.2)
Now, let's calculate it:
C ≈ 2 × 3.14 × 10.2
C ≈ 64.104
To round this value to the nearest tenth, we look at the digit after the decimal point, which is 1. Since it is less than 5, we round down the digit before it, which is 4. Therefore, the circumference to the nearest tenth is approximately 64.1 cm.