📐 geometry

1. **State the problem:** Calculate the volume of each given 3D shape using the provided dimensions. 2. **Cylinder (a):** Diameter = 80 cm, Height = 150 cm.

1. **State the problem:** We have a right triangle ABC with a right angle at B. The side BC opposite the 34° angle at C has length 3. We need to find the hypotenuse AB. 2. **Identi

1. **State the problem:** We have a right triangle with vertices I, J, and H. The right angle is at vertex I. The angle at vertex J is 54° and the side JH (hypotenuse) has length $

1. **Énoncé du problème :** Nous avons un triangle ABC avec Q milieu de [AC] et P un point sur la droite (BC) tel que BP = BC.

1. **State the problem:** We need to find the vector that translates shape J to shape L and determine if this vector can be found without using the grid.

1. **Stating the problem:** We have a right-angled trapezoidal prism with bases 4 cm and 3 cm, height 12 cm, and volume 456 cm³. We need to calculate the surface area correct to 1

1. **State the problem:** We need to find the equation of the line of reflection that maps shape F to shape G. 2. **Analyze the positions:** Shape F is around coordinates $(7,7)$ t

1. The problem states that the shape is reflected in the y-axis. 2. Reflection in the y-axis changes the x-coordinate of any point from $x$ to $-x$, while the y-coordinate remains

1. The problem describes a graph with vertical lines at $x=4, 5, 6, 7, 8$ and two L-shaped figures, M and N, located at specific coordinates. 2. Since the user provided multiple va

1. The problem states that there is a basketball court with a circular region painted in the center, and we need to find the area of the unpainted region. 2. To solve this, we need

1. The problem states that two bricks can be placed face-to-face to form three different rectangular prisms, and two of these prisms are shown. We need to find the measurements of

1. The problem is to find the length of the hypotenuse of a right triangle with legs measuring 8 cm and 6 cm. 2. According to the Pythagorean theorem, the hypotenuse $c$ is given b

1. The problem states that the perimeter of square JKLM is 48 units. We need to find the value of $x$ given the side lengths. 2. Since JKLM is a square, all sides are equal in leng

1. **State the problem:** We have a square ABCD with sides AB and BC given as algebraic expressions: AB = $x + 6$ and BC = $2x - 1$. We need to find the length of side DC. 2. **Rec

1. **State the problem:** We need to find the length of the diagonal of a rectangle with width $9$ units and length $40$ units. 2. **Recall the formula:** The diagonal $d$ of a rec

1. **Stating the problem:** We have a square with diagonals drawn inside, each diagonal measuring 3 units. We need to find the approximate side length of the square. 2. **Recall pr

1. **Problem Statement:** We have a square with diagonals intersecting at right angles, forming a smaller tilted square inside. We need to find the approximate value of $x$, which

1. The problem involves determining if it is possible to create a two-colored equilateral triangle using given triangular jigsaw pieces without moving the pieces already placed. 2.

1. **Stating the problem:** Can you create a two-colored right triangle using two types of triangular jigsaw pieces T5 and T6 without moving the pieces already placed?

1. **Problem statement:** We are given a circle with center $O$ and points $D$, $B$, and $C$ on the circumference. The central angle $\angle DOC$ is $96^\circ$. We need to find the

1. **Bisect angle MNO = 50° with NO = 5 cm** Step 1: Draw the angle MNO with vertex at N and side NO measuring 5 cm.